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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/(0.08-X)(3-2X)(3-2X) = 0.0000117 .
    Question type: Equation
    Solution:Original question:
      X ÷ (
2
25
X ) × (32 X )(32 X ) =
117
10000000
     Multiply both sides of the equation by:(
2
25
X )
      X (32 X )(32 X ) =
117
10000000
(
2
25
X )
    Remove a bracket on the left of the equation::
      X × 3(32 X ) X × 2 X (32 X ) =
117
10000000
(
2
25
X )
    Remove a bracket on the right of the equation::
      X × 3(32 X ) X × 2 X (32 X ) =
117
10000000
×
2
25
117
10000000
X
    The equation is reduced to :
      X × 3(32 X ) X × 2 X (32 X ) =
117
125000000
117
10000000
X
    Remove a bracket on the left of the equation:
      X × 3 × 3 X × 3 × 2 X X × 2 X (32 X ) =
117
125000000
117
10000000
X
    The equation is reduced to :
      X × 9 X × 6 X X × 2 X (32 X ) =
117
125000000
117
10000000
X
    Remove a bracket on the left of the equation:
     9 X X × 6 X X × 2 X × 3 + X × 2 X =
117
125000000
117
10000000
X
    The equation is reduced to :
     9 X X × 6 X X × 6 X + X × 4 X X =
117
125000000
117
10000000
X

    After the equation is converted into a general formula, there is a common factor:
    ( X - 0 )
    From
        X - 0 = 0

    it is concluded that::
        X1=0, it is the incremental root of the eqution.
    Solutions that cannot be obtained by factorization:
        X2≈1.5 , keep 1 decimal places
        X3≈1.5 , keep 1 decimal places
    
    There are 3 solution(s).

    There is(are) 1 additive root(s) and 2 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


解程的详细方法请参阅:《方程的解法》



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