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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 10(x+4)(14/x+1) = 7(x+10)(14/x+2) .
    Question type: Equation
    Solution:Original question:
     10( x + 4)(14 ÷ x + 1) = 7( x + 10)(14 ÷ x + 2)
    Remove a bracket on the left of the equation::
     10 x (14 ÷ x + 1) + 10 × 4(14 ÷ x + 1) = 7( x + 10)(14 ÷ x + 2)
    Remove a bracket on the right of the equation::
     10 x (14 ÷ x + 1) + 10 × 4(14 ÷ x + 1) = 7 x (14 ÷ x + 2) + 7 × 10(14 ÷ x + 2)
    The equation is reduced to :
     10 x (14 ÷ x + 1) + 40(14 ÷ x + 1) = 7 x (14 ÷ x + 2) + 70(14 ÷ x + 2)
    Remove a bracket on the left of the equation:
     10 x × 14 ÷ x + 10 x × 1 + 40(14 ÷ x + 1) = 7 x (14 ÷ x + 2) + 70(14 ÷ x + 2)
    Remove a bracket on the right of the equation::
     10 x × 14 ÷ x + 10 x × 1 + 40(14 ÷ x + 1) = 7 x × 14 ÷ x + 7 x × 2 + 70(14 ÷ x + 2)
    The equation is reduced to :
     140 x ÷ x + 10 x + 40(14 ÷ x + 1) = 98 x ÷ x + 14 x + 70(14 ÷ x + 2)
    Remove a bracket on the left of the equation:
     140 × 1 ÷ 1 + 10 x + 40 × 14 ÷ x + 40 × 1 = 98 × 1 ÷ 1 + 14 x + 70(14 ÷ x + 2)
    Remove a bracket on the right of the equation::
     140 × 1 ÷ 1 + 10 x + 40 × 14 ÷ x + 40 × 1 = 98 × 1 ÷ 1 + 14 x + 70 × 14 ÷ x + 70 × 2
    The equation is reduced to :
     140 + 10 x + 560 ÷ x + 40 = 98 + 14 x + 980 ÷ x + 140
    The equation is reduced to :
     180 + 10 x + 560 ÷ x = 238 + 14 x + 980 ÷ x
     Multiply both sides of the equation by: x
     180 x + 10 x x + 560 = 238 x + 14 x x + 980 ÷ 1 × 1
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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