(3x-4)(6x^2+4x-16)=0

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Solution for (3x-4)(6x^2+4x-16)=0 equation:


Simplifying
(3x + -4)(6x2 + 4x + -16) = 0

Reorder the terms:
(-4 + 3x)(6x2 + 4x + -16) = 0

Reorder the terms:
(-4 + 3x)(-16 + 4x + 6x2) = 0

Multiply (-4 + 3x) * (-16 + 4x + 6x2)
(-4(-16 + 4x + 6x2) + 3x * (-16 + 4x + 6x2)) = 0
((-16 * -4 + 4x * -4 + 6x2 * -4) + 3x * (-16 + 4x + 6x2)) = 0
((64 + -16x + -24x2) + 3x * (-16 + 4x + 6x2)) = 0
(64 + -16x + -24x2 + (-16 * 3x + 4x * 3x + 6x2 * 3x)) = 0
(64 + -16x + -24x2 + (-48x + 12x2 + 18x3)) = 0

Reorder the terms:
(64 + -16x + -48x + -24x2 + 12x2 + 18x3) = 0

Combine like terms: -16x + -48x = -64x
(64 + -64x + -24x2 + 12x2 + 18x3) = 0

Combine like terms: -24x2 + 12x2 = -12x2
(64 + -64x + -12x2 + 18x3) = 0

Solving
64 + -64x + -12x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -32x + -6x2 + 9x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(32 + -32x + -6x2 + 9x3)' equal to zero and attempt to solve: Simplifying 32 + -32x + -6x2 + 9x3 = 0 Solving 32 + -32x + -6x2 + 9x3 = 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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