X(6x-3)=(6x+9)(x-8)

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Solution for X(6x-3)=(6x+9)(x-8) equation: 


Simplifying
X(6x + -3) = (6x + 9)(x + -8)

Reorder the terms:
X(-3 + 6x) = (6x + 9)(x + -8)
(-3 * X + 6x * X) = (6x + 9)(x + -8)
(-3X + 6xX) = (6x + 9)(x + -8)

Reorder the terms:
-3X + 6xX = (9 + 6x)(x + -8)

Reorder the terms:
-3X + 6xX = (9 + 6x)(-8 + x)

Multiply (9 + 6x) * (-8 + x)
-3X + 6xX = (9(-8 + x) + 6x * (-8 + x))
-3X + 6xX = ((-8 * 9 + x * 9) + 6x * (-8 + x))
-3X + 6xX = ((-72 + 9x) + 6x * (-8 + x))
-3X + 6xX = (-72 + 9x + (-8 * 6x + x * 6x))
-3X + 6xX = (-72 + 9x + (-48x + 6x2))

Combine like terms: 9x + -48x = -39x
-3X + 6xX = (-72 + -39x + 6x2)

Solving
-3X + 6xX = -72 + -39x + 6x2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Reorder the terms:
72 + -3X + 39x + 6xX + -6x2 = -72 + -39x + 6x2 + 72 + 39x + -6x2

Reorder the terms:
72 + -3X + 39x + 6xX + -6x2 = -72 + 72 + -39x + 39x + 6x2 + -6x2

Combine like terms: -72 + 72 = 0
72 + -3X + 39x + 6xX + -6x2 = 0 + -39x + 39x + 6x2 + -6x2
72 + -3X + 39x + 6xX + -6x2 = -39x + 39x + 6x2 + -6x2

Combine like terms: -39x + 39x = 0
72 + -3X + 39x + 6xX + -6x2 = 0 + 6x2 + -6x2
72 + -3X + 39x + 6xX + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
72 + -3X + 39x + 6xX + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -1X + 13x + 2xX + -2x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(24 + -1X + 13x + 2xX + -2x2)' equal to zero and attempt to solve:

Simplifying
24 + -1X + 13x + 2xX + -2x2 = 0

Solving
24 + -1X + 13x + 2xX + -2x2 = 0

Move all terms containing X to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -1X + 13x + 2xX + -24 + -2x2 = 0 + -24

Reorder the terms:
24 + -24 + -1X + 13x + 2xX + -2x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1X + 13x + 2xX + -2x2 = 0 + -24
-1X + 13x + 2xX + -2x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-1X + 13x + 2xX + -2x2 = -24

Add '-13x' to each side of the equation.
-1X + 13x + 2xX + -13x + -2x2 = -24 + -13x

Reorder the terms:
-1X + 13x + -13x + 2xX + -2x2 = -24 + -13x

Combine like terms: 13x + -13x = 0
-1X + 0 + 2xX + -2x2 = -24 + -13x
-1X + 2xX + -2x2 = -24 + -13x

Add '2x2' to each side of the equation.
-1X + 2xX + -2x2 + 2x2 = -24 + -13x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-1X + 2xX + 0 = -24 + -13x + 2x2
-1X + 2xX = -24 + -13x + 2x2

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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