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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 923200*0.002*0.75/(1+x)+923200*0.005*0.75/(1+x)/(1+x)+923200*0.01*0.75/(1+x)/(1+x)/(1+x) = 923200 .
    Question type: Equation
    Solution:Original question:
     923200 ×
1
500
×
3
4
÷ (1 + x ) + 923200 ×
1
200
×
3
4
÷ (1 + x ) ÷ (1 + x ) + 923200 ×
1
100
×
3
4
= 923200
     Multiply both sides of the equation by:(1 + x )
     923200 ×
1
500
×
3
4
+ 923200 ×
1
200
×
3
4
÷ (1 + x ) + 923200 ×
1
100
×
3
4
÷ (1 + x ) ÷ (1 + x ) = 923200(1 + x )
    Remove a bracket on the right of the equation::
     923200 ×
1
500
×
3
4
+ 923200 ×
1
200
×
3
4
÷ (1 + x ) + 923200 ×
1
100
×
3
4
÷ (1 + x ) ÷ (1 + x ) = 923200 × 1 + 923200 x
    The equation is reduced to :
     
6924
5
+ 3462 ÷ (1 + x ) + 6924 ÷ (1 + x ) ÷ (1 + x ) = 923200 + 923200 x
     Multiply both sides of the equation by:(1 + x )
     
6924
5
(1 + x ) + 3462 + 6924 ÷ (1 + x ) = 923200(1 + x ) + 923200 x (1 + x )
    Remove a bracket on the left of the equation:
     
6924
5
× 1 +
6924
5
x + 3462 + 6924 ÷ (1 + x ) = 923200(1 + x ) + 923200 x (1 + x )
    Remove a bracket on the right of the equation::
     
6924
5
× 1 +
6924
5
x + 3462 + 6924 ÷ (1 + x ) = 923200 × 1 + 923200 x + 923200 x (1 + x )
    The equation is reduced to :
     
6924
5
+
6924
5
x + 3462 + 6924 ÷ (1 + x ) = 923200 + 923200 x + 923200 x (1 + x )
    The equation is reduced to :
     
24234
5
+
6924
5
x + 6924 ÷ (1 + x ) = 923200 + 923200 x + 923200 x (1 + x )
     Multiply both sides of the equation by:(1 + x )
     
24234
5
(1 + x ) +
6924
5
x (1 + x ) + 6924 = 923200(1 + x ) + 923200 x (1 + x ) + 923200 x (1 + x )(1 + x )
    Remove a bracket on the left of the equation:
     
24234
5
× 1 +
24234
5
x +
6924
5
x (1 + x ) + 6924 = 923200(1 + x ) + 923200 x (1 + x ) + 923200 x (1 + x )(1 + x )
    Remove a bracket on the right of the equation::
     
24234
5
× 1 +
24234
5
x +
6924
5
x (1 + x ) + 6924 = 923200 × 1 + 923200 x + 923200 x (1 + x ) + 923200 x (1 + x )(1 + x )
    The equation is reduced to :
     
24234
5
+
24234
5
x +
6924
5
x (1 + x ) + 6924 = 923200 + 923200 x + 923200 x (1 + x ) + 923200 x (1 + x )(1 + x )
    The equation is reduced to :
     
58854
5
+
24234
5
x +
6924
5
x (1 + x ) = 923200 + 923200 x + 923200 x (1 + x ) + 923200 x (1 + x )(1 + x )
    Remove a bracket on the left of the equation:
     
58854
5
+
24234
5
x +
6924
5
x × 1 +
6924
5
x x = 923200 + 923200 x + 923200 x (1 + x ) + 923200 x (1 + x )(1 + x )
    Remove a bracket on the right of the equation::
     
58854
5
+
24234
5
x +
6924
5
x × 1 +
6924
5
x x = 923200 + 923200 x + 923200 x × 1 + 923200 x x + 923200 x (1 + x )
    The equation is reduced to :
     
58854
5
+
24234
5
x +
6924
5
x +
6924
5
x x = 923200 + 923200 x + 923200 x + 923200 x x + 923200 x (1 + x )(1 + x )
    The equation is reduced to :
     
58854
5
+
31158
5
x +
6924
5
x x = 923200 + 1846400 x + 923200 x x + 923200 x (1 + x )(1 + x )
    Remove a bracket on the right of the equation::
     
58854
5
+
31158
5
x +
6924
5
x x = 923200 + 1846400 x + 923200 x x + 923200 x × 1(1 + x ) + 923200 x
    The equation is reduced to :
     
58854
5
+
31158
5
x +
6924
5
x x = 923200 + 1846400 x + 923200 x x + 923200 x (1 + x ) + 923200 x x
    Remove a bracket on the right of the equation::
     
58854
5
+
31158
5
x +
6924
5
x x = 923200 + 1846400 x + 923200 x x + 923200 x × 1 + 923200 x x
    The equation is reduced to :
     
58854
5
+
31158
5
x +
6924
5
x x = 923200 + 1846400 x + 923200 x x + 923200 x + 923200 x x + 923200
    The equation is reduced to :
     
58854
5
+
31158
5
x +
6924
5
x x = 923200 + 2769600 x + 923200 x x + 923200 x x + 923200 x x

    
        x≈-0.797356 , keep 6 decimal places
    
    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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