18-6x=-2x(4x-5)

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Solution for 18-6x=-2x(4x-5) equation: 


Simplifying
18 + -6x = -2x(4x + -5)

Reorder the terms:
18 + -6x = -2x(-5 + 4x)
18 + -6x = (-5 * -2x + 4x * -2x)
18 + -6x = (10x + -8x2)

Solving
18 + -6x = 10x + -8x2

Solving for variable 'x'.

Combine like terms: -6x + -10x = -16x
18 + -16x + 8x2 = 10x + -8x2 + -10x + 8x2

Reorder the terms:
18 + -16x + 8x2 = 10x + -10x + -8x2 + 8x2

Combine like terms: 10x + -10x = 0
18 + -16x + 8x2 = 0 + -8x2 + 8x2
18 + -16x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
18 + -16x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -8x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + -8x + 4x2)' equal to zero and attempt to solve:

Simplifying
9 + -8x + 4x2 = 0

Solving
9 + -8x + 4x2 = 0

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

Divide each side by '4'.
2.25 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -2x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -2x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -2x + x2 = 0 + -2.25
-2x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-2x + x2 = -2.25

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -2.25 + 1

Reorder the terms:
1 + -2x + x2 = -2.25 + 1

Combine like terms: -2.25 + 1 = -1.25
1 + -2x + x2 = -1.25

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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