18-5x=-3x(x-2)

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Solution for 18-5x=-3x(x-2) equation: 


Simplifying
18 + -5x = -3x(x + -2)

Reorder the terms:
18 + -5x = -3x(-2 + x)
18 + -5x = (-2 * -3x + x * -3x)
18 + -5x = (6x + -3x2)

Solving
18 + -5x = 6x + -3x2

Solving for variable 'x'.

Combine like terms: -5x + -6x = -11x
18 + -11x + 3x2 = 6x + -3x2 + -6x + 3x2

Reorder the terms:
18 + -11x + 3x2 = 6x + -6x + -3x2 + 3x2

Combine like terms: 6x + -6x = 0
18 + -11x + 3x2 = 0 + -3x2 + 3x2
18 + -11x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
18 + -11x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
6 + -3.666666667x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.666666667x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -3.666666667x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.666666667x + x2 = 0 + -6
-3.666666667x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.666666667x + x2 = -6

The x term is -3.666666667x.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667x + 3.361111114 + x2 = -6 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667x + x2 = -6 + 3.361111114

Combine like terms: -6 + 3.361111114 = -2.638888886
3.361111114 + -3.666666667x + x2 = -2.638888886

Factor a perfect square on the left side:
(x + -1.833333334)(x + -1.833333334) = -2.638888886

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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