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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 5*(x+230)/(1430+x) = (5*x/1200+x)+20% .
    Question type: Equation
    Solution:Original question:
     5( x + 230) ÷ (1430 + x ) = (5 x ÷ 1200 + x ) +
20
100
     Multiply both sides of the equation by:(1430 + x )
     5( x + 230) = (5 x ÷ 1200 + x )(1430 + x ) +
20
100
(1430 + x )
    Remove a bracket on the left of the equation::
     5 x + 5 × 230 = (5 x ÷ 1200 + x )(1430 + x ) +
20
100
(1430 + x )
    Remove a bracket on the right of the equation::
     5 x + 5 × 230 = 5 x ÷ 1200 × (1430 + x ) + x (1430 + x ) +
20
100
(1430 + x )
    The equation is reduced to :
     5 x + 1150 =
1
240
x (1430 + x ) + x (1430 + x ) +
20
100
(1430 + x )
    Remove a bracket on the right of the equation::
     5 x + 1150 =
1
240
x × 1430 +
1
240
x x + x (1430 + x ) +
20
100
(1430 + x )
    The equation is reduced to :
     5 x + 1150 =
143
24
x +
1
240
x x + x (1430 + x ) +
20
100
(1430 + x )
    Remove a bracket on the right of the equation::
     5 x + 1150 =
143
24
x +
1
240
x x + x × 1430 + x x +
20
100
(1430 + x )
    The equation is reduced to :
     5 x + 1150 =
34463
24
x +
1
240
x x + x x +
20
100
(1430 + x )
    Remove a bracket on the right of the equation::
     5 x + 1150 =
34463
24
x +
1
240
x x + x x +
20
100
× 1430 +
20
100
x
    The equation is reduced to :
     5 x + 1150 =
34463
24
x +
1
240
x x + x x + 286 +
20
100
x
    The equation is reduced to :
     5 x + 1150 =
172339
120
x +
1
240
x x + x x + 286

    
        x≈0.603451 , 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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