(x-2)(x+2)(x-3)=12x+24

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Solution for (x-2)(x+2)(x-3)=12x+24 equation: 


Simplifying
(x + -2)(x + 2)(x + -3) = 12x + 24

Reorder the terms:
(-2 + x)(x + 2)(x + -3) = 12x + 24

Reorder the terms:
(-2 + x)(2 + x)(x + -3) = 12x + 24

Reorder the terms:
(-2 + x)(2 + x)(-3 + x) = 12x + 24

Multiply (-2 + x) * (2 + x)
(-2(2 + x) + x(2 + x))(-3 + x) = 12x + 24
((2 * -2 + x * -2) + x(2 + x))(-3 + x) = 12x + 24
((-4 + -2x) + x(2 + x))(-3 + x) = 12x + 24
(-4 + -2x + (2 * x + x * x))(-3 + x) = 12x + 24
(-4 + -2x + (2x + x2))(-3 + x) = 12x + 24

Combine like terms: -2x + 2x = 0
(-4 + 0 + x2)(-3 + x) = 12x + 24
(-4 + x2)(-3 + x) = 12x + 24

Multiply (-4 + x2) * (-3 + x)
(-4(-3 + x) + x2(-3 + x)) = 12x + 24
((-3 * -4 + x * -4) + x2(-3 + x)) = 12x + 24
((12 + -4x) + x2(-3 + x)) = 12x + 24
(12 + -4x + (-3 * x2 + x * x2)) = 12x + 24
(12 + -4x + (-3x2 + x3)) = 12x + 24
(12 + -4x + -3x2 + x3) = 12x + 24

Reorder the terms:
12 + -4x + -3x2 + x3 = 24 + 12x

Solving
12 + -4x + -3x2 + x3 = 24 + 12x

Solving for variable 'x'.

Reorder the terms:
12 + -24 + -4x + -12x + -3x2 + x3 = 24 + 12x + -24 + -12x

Combine like terms: 12 + -24 = -12
-12 + -4x + -12x + -3x2 + x3 = 24 + 12x + -24 + -12x

Combine like terms: -4x + -12x = -16x
-12 + -16x + -3x2 + x3 = 24 + 12x + -24 + -12x

Reorder the terms:
-12 + -16x + -3x2 + x3 = 24 + -24 + 12x + -12x

Combine like terms: 24 + -24 = 0
-12 + -16x + -3x2 + x3 = 0 + 12x + -12x
-12 + -16x + -3x2 + x3 = 12x + -12x

Combine like terms: 12x + -12x = 0
-12 + -16x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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