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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 420000000 = 0.9*(2.84*10000*270*270*x+2*100000*(764*2+509)*x+0.9*3.25*10000*(390*390-270*270)*x+0.9*2*100000*509*2*x) .
    Question type: Equation
    Solution:Original question:
     420000000 =
9
10
(
71
25
× 10000 × 270 × 270 x + 2 × 100000(764 × 2 + 509) x +
9
10
×
13
4
× 10000)
    Remove the bracket on the right of the equation:
     Right side of the equation =
9
10
×
71
25
× 10000 × 270 × 270 x +
9
10
× 2 × 100000(764 × 2 + 509) x +
9
10
                                               = 1863324000 x + 180000(764 × 2 + 509) x + 26325(390 × 390270 × 270) x + 164916000 x
                                               = 2028240000 x + 180000(764 × 2 + 509) x + 26325(390 × 390270 × 270) x
                                               = 2028240000 x + 180000 × 764 × 2 x + 180000 × 509 x + 26325(390 × 390270 × 270) x
                                               = 2028240000 x + 275040000 x + 91620000 x + 26325(390 × 390270 × 270) x
                                               = 2394900000 x + 26325(390 × 390270 × 270) x
                                               = 2394900000 x + 26325 × 390 × 390 x 26325 × 270 × 270 x
                                               = 2394900000 x + 4004032500 x 1919092500 x
                                               = 4479840000 x
    The equation is transformed into :
     420000000 = 4479840000 x

    Transposition :
      - 4479840000 x = - 420000000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     420000000 = 4479840000 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     4479840000 x = 420000000

    The coefficient of the unknown number is reduced to 1 :
      x = 420000000 ÷ 4479840000
        = 420000000 ×
1
4479840000
        = 875 ×
1
9333

    We obtained :
      x =
875
9333
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.093753



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