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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 12 = (27-1.5x)(19/(4-x))-4.5x .
    Question type: Equation
    Solution:Original question:
     12 = (27
3
2
x )(19 ÷ (4 x ))
9
2
x
    Remove a bracket on the right of the equation::
     12 = 27(19 ÷ (4 x ))
3
2
x (19 ÷ (4 x ))
9
2
x
    Remove a bracket on the right of the equation::
     12 = 27 × 19 ÷ (4 x )
3
2
x (19 ÷ (4 x ))
9
2
x
    The equation is reduced to :
     12 = 513 ÷ (4 x )
3
2
x (19 ÷ (4 x ))
9
2
x
     Multiply both sides of the equation by:(4 x )
     12(4 x ) = 513
3
2
x (19 ÷ (4 x ))(4 x )
9
2
x (4 x )
    Remove a bracket on the left of the equation:
     12 × 412 x = 513
3
2
x (19 ÷ (4 x ))(4 x )
9
2
x (4 x )
    Remove a bracket on the right of the equation::
     12 × 412 x = 513
3
2
x × 19 ÷ (4 x ) × (4 x )
9
2
x (4 x )
    The equation is reduced to :
     4812 x = 513
57
2
x ÷ (4 x ) × (4 x )
9
2
x (4 x )
     Multiply both sides of the equation by:(4 x )
     48(4 x )12 x (4 x ) = 513(4 x )
57
2
x (4 x )
9
2
x (4 x )(4 x )
    Remove a bracket on the left of the equation:
     48 × 448 x 12 x (4 x ) = 513(4 x )
57
2
x (4 x )
9
2
x (4 x )(4 x )
    Remove a bracket on the right of the equation::
     48 × 448 x 12 x (4 x ) = 513 × 4513 x
57
2
x (4 x )
9
2
x (4 x )(4 x )
    The equation is reduced to :
     19248 x 12 x (4 x ) = 2052513 x
57
2
x (4 x )
9
2
x (4 x )(4 x )
    Remove a bracket on the left of the equation:
     19248 x 12 x × 4 + 12 x x = 2052513 x
57
2
x (4 x )
9
2
x (4 x )(4 x )
    Remove a bracket on the right of the equation::
     19248 x 12 x × 4 + 12 x x = 2052513 x
57
2
x × 4 +
57
2
x x
9
2
x (4 x )
    The equation is reduced to :
     19248 x 48 x + 12 x x = 2052513 x 114 x +
57
2
x x
9
2
x (4 x )(4 x )
    The equation is reduced to :
     19296 x + 12 x x = 2052627 x +
57
2
x x
9
2
x (4 x )(4 x )
    Remove a bracket on the right of the equation::
     19296 x + 12 x x = 2052627 x +
57
2
x x
9
2
x × 4(4 x ) +
9
2
x
    The equation is reduced to :
     19296 x + 12 x x = 2052627 x +
57
2
x x 18 x (4 x ) +
9
2
x x
    Remove a bracket on the right of the equation::
     19296 x + 12 x x = 2052627 x +
57
2
x x 18 x × 4 + 18 x x
    The equation is reduced to :
     19296 x + 12 x x = 2052627 x +
57
2
x x 72 x + 18 x x +
9
2
    The equation is reduced to :
     19296 x + 12 x x = 2052699 x +
57
2
x x + 18 x x +
9
2
x x
    Remove a bracket on the right of the equation::
     19296 x + 12 x x = 2052699 x +
57
2
x x + 18 x x +
9
2
x x
    The equation is reduced to :
     19296 x + 12 x x = 2052699 x +
57
2
x x + 18 x x + 18 x x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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