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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) = -660*509*(1.25x-195)/(1.25x)-420*1000000 .
    Question type: Equation
    Solution:Original question:
     
9
10
×
657
25
× 390 × 60 +
377
20
× 390( x 60) = - 660 × 509(
5
4
x 195) ÷ (
5
4
x )420 × 1000000
     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 ) = - 660 × 509(
5
4
x 195)420 × 1000000(
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 ) = - 660 × 509(
5
4
x 195)420 × 1000000(
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 ) = - 660 × 509 ×
5
4
x + 660 × 509 × 195420 × 1000000(
5
4
x )
    The equation is reduced to :
     691821 x +
14703
2
( x 60)(
5
4
x ) = - 419925 x + 65508300420000000(
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 ) = - 419925 x + 65508300420000000(
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 ) = - 419925 x + 65508300420000000 ×
5
4
x
    The equation is reduced to :
     691821 x +
14703
2
x (
5
4
x )441090(
5
4
x ) = - 419925 x + 65508300525000000 x
    The equation is reduced to :
     691821 x +
14703
2
x (
5
4
x )441090(
5
4
x ) = - 525419925 x + 65508300
    Remove a bracket on the left of the equation:
     691821 x +
14703
2
x ×
5
4
x 441090(
5
4
x ) = - 525419925 x + 65508300
    The equation is reduced to :
     691821 x +
73515
8
x x 441090(
5
4
x ) = - 525419925 x + 65508300
    Remove a bracket on the left of the equation:
     691821 x +
73515
8
x x 441090 ×
5
4
x = - 525419925 x + 65508300
    The equation is reduced to :
     691821 x +
73515
8
x x
1102725
2
x = - 525419925 x + 65508300
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = - 525419925 x + 65508300

    
        x≈0.124644 , 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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