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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 1276.6*(0.8-x/800)*1521+1276.6*(0.8-x/550)*509+1276.6*(0.8-x/300)*509 = 1403*400x .
    Question type: Equation
    Solution:Original question:
     
6383
5
(
4
5
x ÷ 800) × 1521 +
6383
5
(
4
5
x ÷ 550) × 509 +
6383
5
(
4
5
x ÷ 300) × 509 = 1403 × 400 x
     Left side of the equation =
9708543
5
(
4
5
x ÷ 800) +
3248947
5
(
4
5
x ÷ 550) +
3248947
5
(
4
5
x ÷ 300)
    The equation is transformed into :
     
9708543
5
(
4
5
x ÷ 800) +
3248947
5
(
4
5
x ÷ 550) +
3248947
5
(
4
5
x ÷ 300) = 1403 × 400 x
    Remove the bracket on the left of the equation:
     Left side of the equation =
9708543
5
×
4
5
9708543
5
x ÷ 800 +
3248947
5
(
4
5
x ÷ 550) +
3248947
5
(
4
5
x ÷ 300)
                                             =
38834172
25
9708543
4000
x +
3248947
5
(
4
5
x ÷ 550) +
3248947
5
(
4
5
x ÷ 300)
                                             =
38834172
25
9708543
4000
x +
3248947
5
×
4
5
3248947
5
x ÷ 550 +
3248947
5
(
4
5
x ÷ 300)
                                             =
38834172
25
9708543
4000
x +
12995788
25
3248947
2750
x +
3248947
5
(
4
5
x ÷ 300)

    
        x≈4.573450 , 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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