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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.
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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 (((8048/2-1)/x)+2)*(((6036/2-1)/x)+2) = 1120 .
    Question type: Equation
    Solution:Original question:
     (((8048 ÷ 21) ÷ x ) + 2)(((6036 ÷ 21) ÷ x ) + 2) = 1120
    Remove a bracket on the left of the equation::
     ((8048 ÷ 21) ÷ x )(((6036 ÷ 21) ÷ x ) + 2) + 2(((6036 ÷ 21) ÷ x ) + 2) = 1120
    Remove a bracket on the left of the equation:
     (8048 ÷ 21) ÷ x × (((6036 ÷ 21) ÷ x ) + 2) + 2(((6036 ÷ 21) ÷ x ) + 2) = 1120
     Multiply both sides of the equation by: x
     (8048 ÷ 21)(((6036 ÷ 21) ÷ x ) + 2) + 2(((6036 ÷ 21) ÷ x ) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     8048 ÷ 2 × (((6036 ÷ 21) ÷ x ) + 2)1(((6036 ÷ 21) ÷ x ) + 2) + 2(((6036 ÷ 21) ÷ x ) + 2) x = 1120 x
    The equation is reduced to :
     4024(((6036 ÷ 21) ÷ x ) + 2)1(((6036 ÷ 21) ÷ x ) + 2) + 2(((6036 ÷ 21) ÷ x ) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     4024((6036 ÷ 21) ÷ x ) + 4024 × 21(((6036 ÷ 21) ÷ x ) + 2) + 2(((6036 ÷ 21) ÷ x ) + 2) x = 1120 x
    The equation is reduced to :
     4024((6036 ÷ 21) ÷ x ) + 80481(((6036 ÷ 21) ÷ x ) + 2) + 2(((6036 ÷ 21) ÷ x ) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     4024(6036 ÷ 21) ÷ x + 80481(((6036 ÷ 21) ÷ x ) + 2) + 2(((6036 ÷ 21) ÷ x ) + 2) x = 1120 x
     Multiply both sides of the equation by: x
     4024(6036 ÷ 21) + 8048 x 1(((6036 ÷ 21) ÷ x ) + 2) x + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     4024 × 6036 ÷ 24024 × 1 + 8048 x 1(((6036 ÷ 21) ÷ x ) + 2) x + 2(((6036 ÷ 21) ÷ x ) + 2) = 1120 x x
    The equation is reduced to :
     121444324024 + 8048 x 1(((6036 ÷ 21) ÷ x ) + 2) x + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     12140408 + 8048 x 1(((6036 ÷ 21) ÷ x ) + 2) x + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     12140408 + 8048 x 1((6036 ÷ 21) ÷ x ) x 1 × 2 x + 2(((6036 ÷ 21) ÷ x ) + 2) x = 1120 x x
    The equation is reduced to :
     12140408 + 8048 x 1((6036 ÷ 21) ÷ x ) x 2 x + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     12140408 + 8046 x 1((6036 ÷ 21) ÷ x ) x + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     12140408 + 8046 x 1(6036 ÷ 21) ÷ 1 × 1 + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     12140408 + 8046 x 1(6036 ÷ 21) + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     12140408 + 8046 x 1 × 6036 ÷ 2 + 1 × 1 + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     12140408 + 8046 x 3018 + 1 + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     12137391 + 8046 x + 2(((6036 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     12137391 + 8046 x + 2((6036 ÷ 21) ÷ x ) x x + 2 × 2 x x = 1120 x x
    The equation is reduced to :
     12137391 + 8046 x + 2((6036 ÷ 21) ÷ x ) x x + 4 x x = 1120 x x
    Remove a bracket on the left of the equation:
     12137391 + 8046 x + 2(6036 ÷ 21) ÷ 1 × 1 x + 4 x x = 1120 x x

    The solution of the equation:
        x1≈-98.169468 , keep 6 decimal places
        x2≈110.785956 , 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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