(4x-3)(x^2-4)=(3x^2-12)(3x+2x)

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Solution for (4x-3)(x^2-4)=(3x^2-12)(3x+2x) equation: 


Simplifying
(4x + -3)(x2 + -4) = (3x2 + -12)(3x + 2x)

Reorder the terms:
(-3 + 4x)(x2 + -4) = (3x2 + -12)(3x + 2x)

Reorder the terms:
(-3 + 4x)(-4 + x2) = (3x2 + -12)(3x + 2x)

Multiply (-3 + 4x) * (-4 + x2)
(-3(-4 + x2) + 4x * (-4 + x2)) = (3x2 + -12)(3x + 2x)
((-4 * -3 + x2 * -3) + 4x * (-4 + x2)) = (3x2 + -12)(3x + 2x)
((12 + -3x2) + 4x * (-4 + x2)) = (3x2 + -12)(3x + 2x)
(12 + -3x2 + (-4 * 4x + x2 * 4x)) = (3x2 + -12)(3x + 2x)
(12 + -3x2 + (-16x + 4x3)) = (3x2 + -12)(3x + 2x)

Reorder the terms:
(12 + -16x + -3x2 + 4x3) = (3x2 + -12)(3x + 2x)
(12 + -16x + -3x2 + 4x3) = (3x2 + -12)(3x + 2x)

Reorder the terms:
12 + -16x + -3x2 + 4x3 = (-12 + 3x2)(3x + 2x)

Combine like terms: 3x + 2x = 5x
12 + -16x + -3x2 + 4x3 = (-12 + 3x2)(5x)

Remove parenthesis around (5x)
12 + -16x + -3x2 + 4x3 = (-12 + 3x2) * 5x

Reorder the terms for easier multiplication:
12 + -16x + -3x2 + 4x3 = 5x(-12 + 3x2)
12 + -16x + -3x2 + 4x3 = (-12 * 5x + 3x2 * 5x)
12 + -16x + -3x2 + 4x3 = (-60x + 15x3)

Solving
12 + -16x + -3x2 + 4x3 = -60x + 15x3

Solving for variable 'x'.

Reorder the terms:
12 + -16x + 60x + -3x2 + 4x3 + -15x3 = -60x + 15x3 + 60x + -15x3

Combine like terms: -16x + 60x = 44x
12 + 44x + -3x2 + 4x3 + -15x3 = -60x + 15x3 + 60x + -15x3

Combine like terms: 4x3 + -15x3 = -11x3
12 + 44x + -3x2 + -11x3 = -60x + 15x3 + 60x + -15x3

Reorder the terms:
12 + 44x + -3x2 + -11x3 = -60x + 60x + 15x3 + -15x3

Combine like terms: -60x + 60x = 0
12 + 44x + -3x2 + -11x3 = 0 + 15x3 + -15x3
12 + 44x + -3x2 + -11x3 = 15x3 + -15x3

Combine like terms: 15x3 + -15x3 = 0
12 + 44x + -3x2 + -11x3 = 0

The solution to this equation could not be determined.

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