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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 12 = (x+5.1)*(12/(10.2+x)+0.0116)+5.1*12/(10.2+x) .
    Question type: Equation
    Solution:Original question:
     12 = ( x +
51
10
)(12 ÷ (
51
5
+ x ) +
29
2500
) +
51
10
× 12 ÷ (
51
5
+ x )
     Multiply both sides of the equation by:(
51
5
+ x )
     12(
51
5
+ x ) = ( x +
51
10
)(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x ) +
51
10
× 12
    Remove a bracket on the left of the equation::
     12 ×
51
5
+ 12 x = ( x +
51
10
)(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x ) +
51
10
× 12
    Remove a bracket on the right of the equation::
     12 ×
51
5
+ 12 x = x (12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x ) +
51
10
(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x ) +
51
10
× 12
    The equation is reduced to :
     
612
5
+ 12 x = x (12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x ) +
51
10
(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x ) +
306
5
    Remove a bracket on the right of the equation::
     
612
5
+ 12 x = x × 12 ÷ (
51
5
+ x ) × (
51
5
+ x ) + x ×
29
2500
(
51
5
+ x ) +
51
10
(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x ) +
306
5
     Multiply both sides of the equation by:(
51
5
+ x )
     
612
5
(
51
5
+ x ) + 12 x (
51
5
+ x ) = x × 12(
51
5
+ x ) + x ×
29
2500
(
51
5
+ x )(
51
5
+ x ) +
51
10
(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x )(
51
5
+ x ) +
306
5
    Remove a bracket on the left of the equation:
     
612
5
×
51
5
+
612
5
x + 12 x (
51
5
+ x ) = x × 12(
51
5
+ x ) + x ×
29
2500
(
51
5
+ x )(
51
5
+ x ) +
51
10
(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x )(
51
5
+ x ) +
306
5
    Remove a bracket on the right of the equation::
     
612
5
×
51
5
+
612
5
x + 12 x (
51
5
+ x ) = x × 12 ×
51
5
+ x × 12 x + x ×
29
2500
(
51
5
+ x )(
51
5
+ x ) +
51
10
(12 ÷ (
51
5
+ x ) +
29
2500
)
    The equation is reduced to :
     
31212
25
+
612
5
x + 12 x (
51
5
+ x ) = x ×
612
5
+ x × 12 x + x ×
29
2500
(
51
5
+ x )(
51
5
+ x ) +
51
10
(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x )
    Remove a bracket on the left of the equation:
     
31212
25
+
612
5
x + 12 x ×
51
5
+ 12 x x =
612
5
x + x × 12 x + x ×
29
2500
(
51
5
+ x )(
51
5
+ x ) +
51
10
(12 ÷ (
51
5
+ x ) +
29
2500
)(
51
5
+ x )
    Remove a bracket on the right of the equation::
     
31212
25
+
612
5
x + 12 x ×
51
5
+ 12 x x =
612
5
x + x × 12 x + x ×
29
2500
×
51
5
(
51
5
+ x ) + x ×
29
2500
x
    The equation is reduced to :
     
31212
25
+
612
5
x +
612
5
x + 12 x x =
612
5
x + x × 12 x + x ×
1479
12500
(
51
5
+ x ) + x ×
29
2500
x (
51
5
+ x )
    The equation is reduced to :
     
31212
25
+
1224
5
x + 12 x x =
612
5
x + x × 12 x + x ×
1479
12500
(
51
5
+ x ) + x ×
29
2500
x (
51
5
+ x )
    Remove a bracket on the right of the equation::
     
31212
25
+
1224
5
x + 12 x x =
612
5
x + x × 12 x + x ×
1479
12500
×
51
5
+ x ×
1479
12500
x + x
    The equation is reduced to :
     
31212
25
+
1224
5
x + 12 x x =
612
5
x + x × 12 x + x ×
75429
62500
+ x ×
1479
12500
x + x ×
29
2500
    The equation is reduced to :
     
31212
25
+
1224
5
x + 12 x x =
7725429
62500
x + x × 12 x + x ×
1479
12500
x + x ×
29
2500
x (
51
5
+ x )
    Remove a bracket on the right of the equation::
     
31212
25
+
1224
5
x + 12 x x =
7725429
62500
x + x × 12 x + x ×
1479
12500
x + x ×
29
2500
x ×
51
5
    The equation is reduced to :
     
31212
25
+
1224
5
x + 12 x x =
7725429
62500
x + x × 12 x + x ×
1479
12500
x + x ×
1479
12500
x + x
    Remove a bracket on the right of the equation::
     
31212
25
+
1224
5
x + 12 x x =
7725429
62500
x + x × 12 x + x ×
1479
12500
x + x ×
1479
12500
x + x
    The equation is reduced to :
     
31212
25
+
1224
5
x + 12 x x =
7725429
62500
x + x × 12 x + x ×
1479
12500
x + x ×
1479
12500
x + x
     Multiply both sides of the equation by:(
51
5
+ x )
     
31212
25
(
51
5
+ x ) +
1224
5
x (
51
5
+ x ) + 12 x x (
51
5
+ x ) =
7725429
62500
x (
51
5
+ x ) + x × 12 x (
51
5
+ x ) + x ×
1479
12500
x (
51
5
+ x ) + x
    Remove a bracket on the left of the equation:
     
31212
25
×
51
5
+
31212
25
x +
1224
5
x (
51
5
+ x ) + 12 x x (
51
5
+ x ) =
7725429
62500
x (
51
5
+ x ) + x × 12 x (
51
5
+ x ) + x ×
1479
12500
x (
51
5
+ x ) + x

    
        x=-
51
10
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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