(5x-3)(x^2-16)=(2x^2-32)*4x

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Solution for (5x-3)(x^2-16)=(2x^2-32)*4x equation:


Simplifying
(5x + -3)(x2 + -16) = (2x2 + -32) * 4x

Reorder the terms:
(-3 + 5x)(x2 + -16) = (2x2 + -32) * 4x

Reorder the terms:
(-3 + 5x)(-16 + x2) = (2x2 + -32) * 4x

Multiply (-3 + 5x) * (-16 + x2)
(-3(-16 + x2) + 5x * (-16 + x2)) = (2x2 + -32) * 4x
((-16 * -3 + x2 * -3) + 5x * (-16 + x2)) = (2x2 + -32) * 4x
((48 + -3x2) + 5x * (-16 + x2)) = (2x2 + -32) * 4x
(48 + -3x2 + (-16 * 5x + x2 * 5x)) = (2x2 + -32) * 4x
(48 + -3x2 + (-80x + 5x3)) = (2x2 + -32) * 4x

Reorder the terms:
(48 + -80x + -3x2 + 5x3) = (2x2 + -32) * 4x
(48 + -80x + -3x2 + 5x3) = (2x2 + -32) * 4x

Reorder the terms:
48 + -80x + -3x2 + 5x3 = (-32 + 2x2) * 4x

Reorder the terms for easier multiplication:
48 + -80x + -3x2 + 5x3 = 4x(-32 + 2x2)
48 + -80x + -3x2 + 5x3 = (-32 * 4x + 2x2 * 4x)
48 + -80x + -3x2 + 5x3 = (-128x + 8x3)

Solving
48 + -80x + -3x2 + 5x3 = -128x + 8x3

Solving for variable 'x'.

Reorder the terms:
48 + -80x + 128x + -3x2 + 5x3 + -8x3 = -128x + 8x3 + 128x + -8x3

Combine like terms: -80x + 128x = 48x
48 + 48x + -3x2 + 5x3 + -8x3 = -128x + 8x3 + 128x + -8x3

Combine like terms: 5x3 + -8x3 = -3x3
48 + 48x + -3x2 + -3x3 = -128x + 8x3 + 128x + -8x3

Reorder the terms:
48 + 48x + -3x2 + -3x3 = -128x + 128x + 8x3 + -8x3

Combine like terms: -128x + 128x = 0
48 + 48x + -3x2 + -3x3 = 0 + 8x3 + -8x3
48 + 48x + -3x2 + -3x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
48 + 48x + -3x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + 16x + -1x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(16 + 16x + -1x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
16 + 16x + -1x2 + -1x3 = 0

Solving
16 + 16x + -1x2 + -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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