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

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


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

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

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

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

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

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

Multiply (-12 + 3x2) * (3 + 2x)
12 + -16x + -3x2 + 4x3 = (-12(3 + 2x) + 3x2 * (3 + 2x))
12 + -16x + -3x2 + 4x3 = ((3 * -12 + 2x * -12) + 3x2 * (3 + 2x))
12 + -16x + -3x2 + 4x3 = ((-36 + -24x) + 3x2 * (3 + 2x))
12 + -16x + -3x2 + 4x3 = (-36 + -24x + (3 * 3x2 + 2x * 3x2))
12 + -16x + -3x2 + 4x3 = (-36 + -24x + (9x2 + 6x3))
12 + -16x + -3x2 + 4x3 = (-36 + -24x + 9x2 + 6x3)

Solving
12 + -16x + -3x2 + 4x3 = -36 + -24x + 9x2 + 6x3

Solving for variable 'x'.

Reorder the terms:
12 + 36 + -16x + 24x + -3x2 + -9x2 + 4x3 + -6x3 = -36 + -24x + 9x2 + 6x3 + 36 + 24x + -9x2 + -6x3

Combine like terms: 12 + 36 = 48
48 + -16x + 24x + -3x2 + -9x2 + 4x3 + -6x3 = -36 + -24x + 9x2 + 6x3 + 36 + 24x + -9x2 + -6x3

Combine like terms: -16x + 24x = 8x
48 + 8x + -3x2 + -9x2 + 4x3 + -6x3 = -36 + -24x + 9x2 + 6x3 + 36 + 24x + -9x2 + -6x3

Combine like terms: -3x2 + -9x2 = -12x2
48 + 8x + -12x2 + 4x3 + -6x3 = -36 + -24x + 9x2 + 6x3 + 36 + 24x + -9x2 + -6x3

Combine like terms: 4x3 + -6x3 = -2x3
48 + 8x + -12x2 + -2x3 = -36 + -24x + 9x2 + 6x3 + 36 + 24x + -9x2 + -6x3

Reorder the terms:
48 + 8x + -12x2 + -2x3 = -36 + 36 + -24x + 24x + 9x2 + -9x2 + 6x3 + -6x3

Combine like terms: -36 + 36 = 0
48 + 8x + -12x2 + -2x3 = 0 + -24x + 24x + 9x2 + -9x2 + 6x3 + -6x3
48 + 8x + -12x2 + -2x3 = -24x + 24x + 9x2 + -9x2 + 6x3 + -6x3

Combine like terms: -24x + 24x = 0
48 + 8x + -12x2 + -2x3 = 0 + 9x2 + -9x2 + 6x3 + -6x3
48 + 8x + -12x2 + -2x3 = 9x2 + -9x2 + 6x3 + -6x3

Combine like terms: 9x2 + -9x2 = 0
48 + 8x + -12x2 + -2x3 = 0 + 6x3 + -6x3
48 + 8x + -12x2 + -2x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
48 + 8x + -12x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 4x + -6x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(24 + 4x + -6x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
24 + 4x + -6x2 + -1x3 = 0

Solving
24 + 4x + -6x2 + -1x3 = 0

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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