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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 (25.5-25.5/(2x+2)x)/(2x+2+x)+25.5/(2x+2) = 3 .
    Question type: Equation
    Solution:Original question:
     (
51
2
51
2
÷ (2 x + 2) × x ) ÷ (2 x + 2 + x ) +
51
2
÷ (2 x + 2) = 3
     Multiply both sides of the equation by:(2 x + 2 + x )
     (
51
2
51
2
÷ (2 x + 2) × x ) +
51
2
÷ (2 x + 2) × (2 x + 2 + x ) = 3(2 x + 2 + x )
    Remove a bracket on the left of the equation::
     
51
2
51
2
÷ (2 x + 2) × x +
51
2
÷ (2 x + 2) × (2 x + 2 + x ) = 3(2 x + 2 + x )
    Remove a bracket on the right of the equation::
     
51
2
51
2
÷ (2 x + 2) × x +
51
2
÷ (2 x + 2) × (2 x + 2 + x ) = 3 × 2 x + 3 × 2 + 3 x
    The equation is reduced to :
     
51
2
51
2
÷ (2 x + 2) × x +
51
2
÷ (2 x + 2) × (2 x + 2 + x ) = 6 x + 6 + 3 x
    The equation is reduced to :
     
51
2
51
2
÷ (2 x + 2) × x +
51
2
÷ (2 x + 2) × (2 x + 2 + x ) = 9 x + 6
     Multiply both sides of the equation by:(2 x + 2)
     
51
2
(2 x + 2)
51
2
x +
51
2
(2 x + 2 + x ) = 9 x (2 x + 2) + 6(2 x + 2)
    Remove a bracket on the left of the equation:
     
51
2
× 2 x +
51
2
× 2
51
2
x +
51
2
(2 x + 2 + x ) = 9 x (2 x + 2) + 6(2 x + 2)
    Remove a bracket on the right of the equation::
     
51
2
× 2 x +
51
2
× 2
51
2
x +
51
2
(2 x + 2 + x ) = 9 x × 2 x + 9 x × 2 + 6(2 x + 2)
    The equation is reduced to :
     51 x + 51
51
2
x +
51
2
(2 x + 2 + x ) = 18 x x + 18 x + 6(2 x + 2)
    The equation is reduced to :
     
51
2
x + 51 +
51
2
(2 x + 2 + x ) = 18 x x + 18 x + 6(2 x + 2)
    Remove a bracket on the left of the equation:
     
51
2
x + 51 +
51
2
× 2 x +
51
2
× 2 +
51
2
x = 18 x x + 18 x + 6(2 x + 2)
    Remove a bracket on the right of the equation::
     
51
2
x + 51 +
51
2
× 2 x +
51
2
× 2 +
51
2
x = 18 x x + 18 x + 6 × 2 x + 6 × 2
    The equation is reduced to :
     
51
2
x + 51 + 51 x + 51 +
51
2
x = 18 x x + 18 x + 12 x + 12
    The equation is reduced to :
     102 x + 102 = 18 x x + 30 x + 12

    the solutions is:
        x1=5
    
    There are 1 solution(s).


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