Mathematics
         
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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 ((X*700+(10-X)*1200)*0.69-(10-X)*1080)/X = 420 .
    Question type: Equation
    Solution:Original question:
     (( X × 700 + (10 X ) × 1200) ×
69
100
(10 X ) × 1080) ÷ X = 420
     Multiply both sides of the equation by: X
     (( X × 700 + (10 X ) × 1200) ×
69
100
(10 X ) × 1080) = 420 X
    Remove a bracket on the left of the equation::
     ( X × 700 + (10 X ) × 1200) ×
69
100
(10 X ) × 1080 = 420 X
    Remove a bracket on the left of the equation:
      X × 700 ×
69
100
+ (10 X ) × 1200 ×
69
100
(10 X ) × 1080 = 420 X
    The equation is reduced to :
      X × 483 + (10 X ) × 828(10 X ) × 1080 = 420 X
    Remove a bracket on the left of the equation:
     483 X + 10 × 828 X × 828(10 X ) × 1080 = 420 X
    The equation is reduced to :
     483 X + 8280 X × 828(10 X ) × 1080 = 420 X
    The equation is reduced to :
      - 345 X + 8280(10 X ) × 1080 = 420 X
    Remove a bracket on the left of the equation:
      - 345 X + 828010 × 1080 + X × 1080 = 420 X
    The equation is reduced to :
      - 345 X + 828010800 + X × 1080 = 420 X
    The equation is reduced to :
     735 X 2520 = 420 X

    Transposition :
     735 X 420 X = 2520

    Combine the items on the left of the equation:
     315 X = 2520

    The coefficient of the unknown number is reduced to 1 :
      X = 2520 ÷ 315
        = 2520 ×
1
315
        = 8 × 1

    We obtained :
      X = 8
    This is the solution of the equation.



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