(2x+3)(4x+2)(2x-1)=180

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Solution for (2x+3)(4x+2)(2x-1)=180 equation: 


Simplifying
(2x + 3)(4x + 2)(2x + -1) = 180

Reorder the terms:
(3 + 2x)(4x + 2)(2x + -1) = 180

Reorder the terms:
(3 + 2x)(2 + 4x)(2x + -1) = 180

Reorder the terms:
(3 + 2x)(2 + 4x)(-1 + 2x) = 180

Multiply (3 + 2x) * (2 + 4x)
(3(2 + 4x) + 2x * (2 + 4x))(-1 + 2x) = 180
((2 * 3 + 4x * 3) + 2x * (2 + 4x))(-1 + 2x) = 180
((6 + 12x) + 2x * (2 + 4x))(-1 + 2x) = 180
(6 + 12x + (2 * 2x + 4x * 2x))(-1 + 2x) = 180
(6 + 12x + (4x + 8x2))(-1 + 2x) = 180

Combine like terms: 12x + 4x = 16x
(6 + 16x + 8x2)(-1 + 2x) = 180

Multiply (6 + 16x + 8x2) * (-1 + 2x)
(6(-1 + 2x) + 16x * (-1 + 2x) + 8x2 * (-1 + 2x)) = 180
((-1 * 6 + 2x * 6) + 16x * (-1 + 2x) + 8x2 * (-1 + 2x)) = 180
((-6 + 12x) + 16x * (-1 + 2x) + 8x2 * (-1 + 2x)) = 180
(-6 + 12x + (-1 * 16x + 2x * 16x) + 8x2 * (-1 + 2x)) = 180
(-6 + 12x + (-16x + 32x2) + 8x2 * (-1 + 2x)) = 180
(-6 + 12x + -16x + 32x2 + (-1 * 8x2 + 2x * 8x2)) = 180
(-6 + 12x + -16x + 32x2 + (-8x2 + 16x3)) = 180

Combine like terms: 12x + -16x = -4x
(-6 + -4x + 32x2 + -8x2 + 16x3) = 180

Combine like terms: 32x2 + -8x2 = 24x2
(-6 + -4x + 24x2 + 16x3) = 180

Solving
-6 + -4x + 24x2 + 16x3 = 180

Solving for variable 'x'.

Reorder the terms:
-6 + -180 + -4x + 24x2 + 16x3 = 180 + -180

Combine like terms: -6 + -180 = -186
-186 + -4x + 24x2 + 16x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-186 + -4x + 24x2 + 16x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-93 + -2x + 12x2 + 8x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-93 + -2x + 12x2 + 8x3)' equal to zero and attempt to solve:

Simplifying
-93 + -2x + 12x2 + 8x3 = 0

Solving
-93 + -2x + 12x2 + 8x3 = 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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