1-16x=(3x^2+2)(x-4)

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Solution for 1-16x=(3x^2+2)(x-4) equation: 


Simplifying
1 + -16x = (3x2 + 2)(x + -4)

Reorder the terms:
1 + -16x = (2 + 3x2)(x + -4)

Reorder the terms:
1 + -16x = (2 + 3x2)(-4 + x)

Multiply (2 + 3x2) * (-4 + x)
1 + -16x = (2(-4 + x) + 3x2 * (-4 + x))
1 + -16x = ((-4 * 2 + x * 2) + 3x2 * (-4 + x))
1 + -16x = ((-8 + 2x) + 3x2 * (-4 + x))
1 + -16x = (-8 + 2x + (-4 * 3x2 + x * 3x2))
1 + -16x = (-8 + 2x + (-12x2 + 3x3))
1 + -16x = (-8 + 2x + -12x2 + 3x3)

Solving
1 + -16x = -8 + 2x + -12x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
1 + 8 + -16x + -2x + 12x2 + -3x3 = -8 + 2x + -12x2 + 3x3 + 8 + -2x + 12x2 + -3x3

Combine like terms: 1 + 8 = 9
9 + -16x + -2x + 12x2 + -3x3 = -8 + 2x + -12x2 + 3x3 + 8 + -2x + 12x2 + -3x3

Combine like terms: -16x + -2x = -18x
9 + -18x + 12x2 + -3x3 = -8 + 2x + -12x2 + 3x3 + 8 + -2x + 12x2 + -3x3

Reorder the terms:
9 + -18x + 12x2 + -3x3 = -8 + 8 + 2x + -2x + -12x2 + 12x2 + 3x3 + -3x3

Combine like terms: -8 + 8 = 0
9 + -18x + 12x2 + -3x3 = 0 + 2x + -2x + -12x2 + 12x2 + 3x3 + -3x3
9 + -18x + 12x2 + -3x3 = 2x + -2x + -12x2 + 12x2 + 3x3 + -3x3

Combine like terms: 2x + -2x = 0
9 + -18x + 12x2 + -3x3 = 0 + -12x2 + 12x2 + 3x3 + -3x3
9 + -18x + 12x2 + -3x3 = -12x2 + 12x2 + 3x3 + -3x3

Combine like terms: -12x2 + 12x2 = 0
9 + -18x + 12x2 + -3x3 = 0 + 3x3 + -3x3
9 + -18x + 12x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
9 + -18x + 12x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + -6x + 4x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(3 + -6x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
3 + -6x + 4x2 + -1x3 = 0

Solving
3 + -6x + 4x2 + -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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