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On line Solution of Monovariate Equation：
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    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 (1-0.725)*(167-x)/(167+2*15.9)+0.725*(0.026-x)/(0.026+2*15.9) = 0 .
    Question type: Equation
    Solution:Original question:
     (1 −
29
40
)(167 − x ) ÷ (167 + 2 ×
159
10
) +
29
40
(
13
500
 − x ) ÷ (
13
500
 + 2 ×
159
10
) = 0
     Multiply both sides of the equation by:(167 + 2 ×
159
10
)
     (1 −
29
40
)(167 − x ) +
29
40
(
13
500
 − x ) ÷ (
13
500
 + 2 ×
159
10
) × (167 + 2 ×
159
10
) = 0
    Remove a bracket on the left of the equation:：
     1(167 − x ) −
29
40
(167 − x ) +
29
40
(
13
500
 − x ) ÷ (
13
500
 + 2 ×
159
10
) × (167 + 2 ×
159
10
) = 0
     Multiply both sides of the equation by:(
13
500
 + 2 ×
159
10
)
     1(167 − x )(
13
500
 + 2 ×
159
10
) −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    Remove a bracket on the left of the equation:
     1 × 167(
13
500
 + 2 ×
159
10
) − 1 x (
13
500
 + 2 ×
159
10
) −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    The equation is reduced to :
     167(
13
500
 + 2 ×
159
10
) − 1 x (
13
500
 + 2 ×
159
10
) −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    Remove a bracket on the left of the equation:
     167 ×
13
500
 + 167 × 2 ×
159
10
 − 1 x (
13
500
 + 2 ×
159
10
) −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
 = 0
    The equation is reduced to :
     
2171
500
 +
26553
5
 − 1 x (
13
500
 + 2 ×
159
10
) −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    The equation is reduced to :
     
2657471
500
 − 1 x (
13
500
 + 2 ×
159
10
) −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    Remove a bracket on the left of the equation:
     
2657471
500
 − 1 x ×
13
500
 − 1 x × 2 ×
159
10
 −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
 = 0
    The equation is reduced to :
     
2657471
500
 −
13
500
 x −
159
5
 x −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    The equation is reduced to :
     
2657471
500
 −
15913
500
 x −
29
40
(167 − x )(
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    Remove a bracket on the left of the equation:
     
2657471
500
 −
15913
500
 x −
29
40
 × 167(
13
500
 + 2 ×
159
10
) +
29
40
 x (
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    The equation is reduced to :
     
2657471
500
 −
15913
500
 x −
4843
40
(
13
500
 + 2 ×
159
10
) +
29
40
 x (
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0
    Remove a bracket on the left of the equation:
     
2657471
500
 −
15913
500
 x −
4843
40
 ×
13
500
 −
4843
40
 × 2 ×
159
10
 +
29
40
 x (
13
500
 + 2 ×
159
10
) +
29
40
 = 0
    The equation is reduced to :
     
2657471
500
 −
15913
500
 x −
62959
20000
 −
770037
200
 +
29
40
 x (
13
500
 + 2 ×
159
10
) +
29
40
(
13
500
 − x )(167 + 2 ×
159
10
) = 0

    
        x≈9.584876 , 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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