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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+15x/x+15)(12x+210/25x+150) = 12 .
    Question type: Equation
    Solution:Original question:
     (10 + 15 x ÷ x + 15)(12 x + 210 ÷ 25 × x + 150) = 12
    Remove a bracket on the left of the equation::
     10(12 x + 210 ÷ 25 × x + 150) + 15 x ÷ x × (12 x + 210 ÷ 25 × x + 150) + 15(12 x + 210 ÷ 25 × x + 150) = 12
    Remove a bracket on the left of the equation:
     10 × 12 x + 10 × 210 ÷ 25 × x + 10 × 150 + 15 × 1 ÷ 1 = 12
    The equation is reduced to :
     120 x + 84 x + 1500 + 15(12 x + 210 ÷ 25 × x + 150) + 15(12 x + 210 ÷ 25 × x + 150) = 12
    The equation is reduced to :
     204 x + 1500 + 15(12 x + 210 ÷ 25 × x + 150) + 15(12 x + 210 ÷ 25 × x + 150) = 12
    Remove a bracket on the left of the equation:
     204 x + 1500 + 15 × 12 x + 15 × 210 ÷ 25 × x + 15 × 150 = 12
    The equation is reduced to :
     204 x + 1500 + 180 x + 126 x + 2250 + 15(12 x + 210 ÷ 25 × x + 150) = 12
    The equation is reduced to :
     510 x + 3750 + 15(12 x + 210 ÷ 25 × x + 150) = 12
    Remove a bracket on the left of the equation:
     510 x + 3750 + 15 × 12 x + 15 × 210 ÷ 25 × x + 15 × 150 = 12
    The equation is reduced to :
     510 x + 3750 + 180 x + 126 x + 2250 = 12
    The equation is reduced to :
     816 x + 6000 = 12

    Transposition :
     816 x = 126000

    Combine the items on the right of the equation:
     816 x = - 5988

    The coefficient of the unknown number is reduced to 1 :
      x = - 5988 ÷ 816
        = - 5988 ×
1
816
        = - 499 ×
1
68

    We obtained :
      x = -
499
68
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 7.338235



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