(4x^2-2x-53)(2x^2+8x)=

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Solution for (4x^2-2x-53)(2x^2+8x)= equation: 


Simplifying
(4x2 + -2x + -53)(2x2 + 8x) = 0

Reorder the terms:
(-53 + -2x + 4x2)(2x2 + 8x) = 0

Reorder the terms:
(-53 + -2x + 4x2)(8x + 2x2) = 0

Multiply (-53 + -2x + 4x2) * (8x + 2x2)
(-53(8x + 2x2) + -2x * (8x + 2x2) + 4x2 * (8x + 2x2)) = 0
((8x * -53 + 2x2 * -53) + -2x * (8x + 2x2) + 4x2 * (8x + 2x2)) = 0
((-424x + -106x2) + -2x * (8x + 2x2) + 4x2 * (8x + 2x2)) = 0
(-424x + -106x2 + (8x * -2x + 2x2 * -2x) + 4x2 * (8x + 2x2)) = 0
(-424x + -106x2 + (-16x2 + -4x3) + 4x2 * (8x + 2x2)) = 0
(-424x + -106x2 + -16x2 + -4x3 + (8x * 4x2 + 2x2 * 4x2)) = 0
(-424x + -106x2 + -16x2 + -4x3 + (32x3 + 8x4)) = 0

Combine like terms: -106x2 + -16x2 = -122x2
(-424x + -122x2 + -4x3 + 32x3 + 8x4) = 0

Combine like terms: -4x3 + 32x3 = 28x3
(-424x + -122x2 + 28x3 + 8x4) = 0

Solving
-424x + -122x2 + 28x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-212 + -61x + 14x2 + 4x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-212 + -61x + 14x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
-212 + -61x + 14x2 + 4x3 = 0

Solving
-212 + -61x + 14x2 + 4x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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