0=8(x^2+4x+4)(2x-5)

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Solution for 0=8(x^2+4x+4)(2x-5) equation: 


Simplifying
0 = 8(x2 + 4x + 4)(2x + -5)

Reorder the terms:
0 = 8(4 + 4x + x2)(2x + -5)

Reorder the terms:
0 = 8(4 + 4x + x2)(-5 + 2x)

Multiply (4 + 4x + x2) * (-5 + 2x)
0 = 8(4(-5 + 2x) + 4x * (-5 + 2x) + x2(-5 + 2x))
0 = 8((-5 * 4 + 2x * 4) + 4x * (-5 + 2x) + x2(-5 + 2x))
0 = 8((-20 + 8x) + 4x * (-5 + 2x) + x2(-5 + 2x))
0 = 8(-20 + 8x + (-5 * 4x + 2x * 4x) + x2(-5 + 2x))
0 = 8(-20 + 8x + (-20x + 8x2) + x2(-5 + 2x))
0 = 8(-20 + 8x + -20x + 8x2 + (-5 * x2 + 2x * x2))
0 = 8(-20 + 8x + -20x + 8x2 + (-5x2 + 2x3))

Combine like terms: 8x + -20x = -12x
0 = 8(-20 + -12x + 8x2 + -5x2 + 2x3)

Combine like terms: 8x2 + -5x2 = 3x2
0 = 8(-20 + -12x + 3x2 + 2x3)
0 = (-20 * 8 + -12x * 8 + 3x2 * 8 + 2x3 * 8)
0 = (-160 + -96x + 24x2 + 16x3)

Solving
0 = -160 + -96x + 24x2 + 16x3

Solving for variable 'x'.

Combine like terms: 0 + 160 = 160
160 + 96x + -24x2 + -16x3 = -160 + -96x + 24x2 + 16x3 + 160 + 96x + -24x2 + -16x3

Reorder the terms:
160 + 96x + -24x2 + -16x3 = -160 + 160 + -96x + 96x + 24x2 + -24x2 + 16x3 + -16x3

Combine like terms: -160 + 160 = 0
160 + 96x + -24x2 + -16x3 = 0 + -96x + 96x + 24x2 + -24x2 + 16x3 + -16x3
160 + 96x + -24x2 + -16x3 = -96x + 96x + 24x2 + -24x2 + 16x3 + -16x3

Combine like terms: -96x + 96x = 0
160 + 96x + -24x2 + -16x3 = 0 + 24x2 + -24x2 + 16x3 + -16x3
160 + 96x + -24x2 + -16x3 = 24x2 + -24x2 + 16x3 + -16x3

Combine like terms: 24x2 + -24x2 = 0
160 + 96x + -24x2 + -16x3 = 0 + 16x3 + -16x3
160 + 96x + -24x2 + -16x3 = 16x3 + -16x3

Combine like terms: 16x3 + -16x3 = 0
160 + 96x + -24x2 + -16x3 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(20 + 12x + -3x2 + -2x3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(20 + 12x + -3x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
20 + 12x + -3x2 + -2x3 = 0

Solving
20 + 12x + -3x2 + -2x3 = 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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