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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 8.26%*90000/(90000+3132)+5.16%（1-t）*3132/(3132+90000) = 9.24% .
    Question type: Equation
    Solution:Original question:
     
413
5000
 × 90000 ÷ (90000 + 3132) +
129
2500
(1 − t ) × 3132 ÷ (3132 + 90000) =
231
2500
     Multiply both sides of the equation by:(90000 + 3132)
     
413
5000
 × 90000 +
129
2500
(1 − t ) × 3132 ÷ (3132 + 90000) × (90000 + 3132) =
231
2500
(90000 + 3132)
    Remove a bracket on the left of the equation:：
     
413
5000
 × 90000 +
129
2500
 × 1 × 3132 ÷ (3132 + 90000) × (90000 + 3132) −
129
2500
 t × 3132 ÷ (3132 + 90000) × (90000 + 3132) =
231
2500
(90000 + 3132)
    Remove a bracket on the right of the equation:：
     
413
5000
 × 90000 +
129
2500
 × 1 × 3132 ÷ (3132 + 90000) × (90000 + 3132) −
129
2500
 t × 3132 ÷ (3132 + 90000) × (90000 + 3132) =
231
2500
 × 90000 +
231
2500
 × 3132
    The equation is reduced to :
     7434 +
101007
625
 ÷ (3132 + 90000) × (90000 + 3132) −
101007
625
 t ÷ (3132 + 90000) × (90000 + 3132) = 8316 +
180873
625
    The equation is reduced to :
     7434 +
101007
625
 ÷ (3132 + 90000) × (90000 + 3132) −
101007
625
 t ÷ (3132 + 90000) × (90000 + 3132) =
5378373
625
     Multiply both sides of the equation by:(3132 + 90000)
     7434(3132 + 90000) +
101007
625
(90000 + 3132) −
101007
625
 t ÷ (3132 + 90000) × (90000 + 3132)(3132 + 90000) =
5378373
625
(3132 + 90000)
    Remove a bracket on the left of the equation:
     7434 × 3132 + 7434 × 90000 +
101007
625
(90000 + 3132) −
101007
625
 t ÷ (3132 + 90000) × (90000 + 3132)(3132 + 90000) =
5378373
625
(3132 + 90000)
    Remove a bracket on the right of the equation:：
     7434 × 3132 + 7434 × 90000 +
101007
625
(90000 + 3132) −
101007
625
 t ÷ (3132 + 90000) × (90000 + 3132)(3132 + 90000) =
5378373
625
 × 3132 +
5378373
625
 × 90000

    
        t=-
√273283541
√7000000
    
    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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