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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 0.9*26.28*390*60+18.85*390*(x-60) = -(509*640*(1.25*x-195))/(1.25*x)-20*509 .
    Question type: Equation
    Solution:Original question:
     
9
10
×
657
25
× 390 × 60 +
377
20
× 390( x 60) = - (509 × 640(
5
4
x 195)) ÷ (
5
4
x )20 × 509
     Multiply both sides of the equation by:(
5
4
x )
     
9
10
×
657
25
× 390 × 60(
5
4
x ) +
377
20
× 390( x 60)(
5
4
x ) = - (509 × 640(
5
4
x 195))20 × 509(
5
4
x )
    Remove a bracket on the left of the equation::
     
9
10
×
657
25
× 390 × 60 ×
5
4
x +
377
20
× 390( x 60)(
5
4
x ) = - (509 × 640(
5
4
x 195))20 × 509(
5
4
x )
    Remove a bracket on the right of the equation::
     
9
10
×
657
25
× 390 × 60 ×
5
4
x +
377
20
× 390( x 60)(
5
4
x ) = - 509 × 640(
5
4
x 195)20 × 509(
5
4
x )
    The equation is reduced to :
     691821 x +
14703
2
( x 60)(
5
4
x ) = - 325760(
5
4
x 195)10180(
5
4
x )
    Remove a bracket on the left of the equation:
     691821 x +
14703
2
x (
5
4
x )
14703
2
× 60(
5
4
x ) = - 325760(
5
4
x 195)10180(
5
4
x )
    Remove a bracket on the right of the equation::
     691821 x +
14703
2
x (
5
4
x )
14703
2
× 60(
5
4
x ) = - 325760 ×
5
4
x + 325760 × 19510180(
5
4
x )
    The equation is reduced to :
     691821 x +
14703
2
x (
5
4
x )441090(
5
4
x ) = - 407200 x + 6352320010180(
5
4
x )
    Remove a bracket on the left of the equation:
     691821 x +
14703
2
x ×
5
4
x 441090(
5
4
x ) = - 407200 x + 6352320010180(
5
4
x )
    Remove a bracket on the right of the equation::
     691821 x +
14703
2
x ×
5
4
x 441090(
5
4
x ) = - 407200 x + 6352320010180 ×
5
4
x
    The equation is reduced to :
     691821 x +
73515
8
x x 441090(
5
4
x ) = - 407200 x + 6352320012725 x
    The equation is reduced to :
     691821 x +
73515
8
x x 441090(
5
4
x ) = - 419925 x + 63523200
    Remove a bracket on the left of the equation:
     691821 x +
73515
8
x x 441090 ×
5
4
x = - 419925 x + 63523200
    The equation is reduced to :
     691821 x +
73515
8
x x
1102725
2
x = - 419925 x + 63523200
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = - 419925 x + 63523200

    The solution of the equation:
        x1≈-119.047997 , keep 6 decimal places
        x2≈58.066320 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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