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    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 (((9344/2-1)/x)+2)*(((7008/2-1)/x)+2) = 1120 .
    Question type: Equation
    Solution:Original question:
     (((9344 ÷ 21) ÷ x ) + 2)(((7008 ÷ 21) ÷ x ) + 2) = 1120
    Remove a bracket on the left of the equation::
     ((9344 ÷ 21) ÷ x )(((7008 ÷ 21) ÷ x ) + 2) + 2(((7008 ÷ 21) ÷ x ) + 2) = 1120
    Remove a bracket on the left of the equation:
     (9344 ÷ 21) ÷ x × (((7008 ÷ 21) ÷ x ) + 2) + 2(((7008 ÷ 21) ÷ x ) + 2) = 1120
     Multiply both sides of the equation by: x
     (9344 ÷ 21)(((7008 ÷ 21) ÷ x ) + 2) + 2(((7008 ÷ 21) ÷ x ) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     9344 ÷ 2 × (((7008 ÷ 21) ÷ x ) + 2)1(((7008 ÷ 21) ÷ x ) + 2) + 2(((7008 ÷ 21) ÷ x ) + 2) x = 1120 x
    The equation is reduced to :
     4672(((7008 ÷ 21) ÷ x ) + 2)1(((7008 ÷ 21) ÷ x ) + 2) + 2(((7008 ÷ 21) ÷ x ) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     4672((7008 ÷ 21) ÷ x ) + 4672 × 21(((7008 ÷ 21) ÷ x ) + 2) + 2(((7008 ÷ 21) ÷ x ) + 2) x = 1120 x
    The equation is reduced to :
     4672((7008 ÷ 21) ÷ x ) + 93441(((7008 ÷ 21) ÷ x ) + 2) + 2(((7008 ÷ 21) ÷ x ) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     4672(7008 ÷ 21) ÷ x + 93441(((7008 ÷ 21) ÷ x ) + 2) + 2(((7008 ÷ 21) ÷ x ) + 2) x = 1120 x
     Multiply both sides of the equation by: x
     4672(7008 ÷ 21) + 9344 x 1(((7008 ÷ 21) ÷ x ) + 2) x + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     4672 × 7008 ÷ 24672 × 1 + 9344 x 1(((7008 ÷ 21) ÷ x ) + 2) x + 2(((7008 ÷ 21) ÷ x ) + 2) = 1120 x x
    The equation is reduced to :
     163706884672 + 9344 x 1(((7008 ÷ 21) ÷ x ) + 2) x + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     16366016 + 9344 x 1(((7008 ÷ 21) ÷ x ) + 2) x + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     16366016 + 9344 x 1((7008 ÷ 21) ÷ x ) x 1 × 2 x + 2(((7008 ÷ 21) ÷ x ) + 2) x = 1120 x x
    The equation is reduced to :
     16366016 + 9344 x 1((7008 ÷ 21) ÷ x ) x 2 x + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     16366016 + 9342 x 1((7008 ÷ 21) ÷ x ) x + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     16366016 + 9342 x 1(7008 ÷ 21) ÷ 1 × 1 + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     16366016 + 9342 x 1(7008 ÷ 21) + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     16366016 + 9342 x 1 × 7008 ÷ 2 + 1 × 1 + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     16366016 + 9342 x 3504 + 1 + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    The equation is reduced to :
     16362513 + 9342 x + 2(((7008 ÷ 21) ÷ x ) + 2) x x = 1120 x x
    Remove a bracket on the left of the equation:
     16362513 + 9342 x + 2((7008 ÷ 21) ÷ x ) x x + 2 × 2 x x = 1120 x x
    The equation is reduced to :
     16362513 + 9342 x + 2((7008 ÷ 21) ÷ x ) x x + 4 x x = 1120 x x
    Remove a bracket on the left of the equation:
     16362513 + 9342 x + 2(7008 ÷ 21) ÷ 1 × 1 x + 4 x x = 1120 x x

    The solution of the equation:
        x1≈-113.982661 , keep 6 decimal places
        x2≈128.631407 , 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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