(2x+1)2(x-2)(x+3)+36=0

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Solution for (2x+1)2(x-2)(x+3)+36=0 equation: 


Simplifying
(2x + 1) * 2(x + -2)(x + 3) + 36 = 0

Reorder the terms:
(1 + 2x) * 2(x + -2)(x + 3) + 36 = 0

Reorder the terms:
(1 + 2x) * 2(-2 + x)(x + 3) + 36 = 0

Reorder the terms:
(1 + 2x) * 2(-2 + x)(3 + x) + 36 = 0

Reorder the terms for easier multiplication:
2(1 + 2x)(-2 + x)(3 + x) + 36 = 0

Multiply (1 + 2x) * (-2 + x)
2(1(-2 + x) + 2x * (-2 + x))(3 + x) + 36 = 0
2((-2 * 1 + x * 1) + 2x * (-2 + x))(3 + x) + 36 = 0
2((-2 + 1x) + 2x * (-2 + x))(3 + x) + 36 = 0
2(-2 + 1x + (-2 * 2x + x * 2x))(3 + x) + 36 = 0
2(-2 + 1x + (-4x + 2x2))(3 + x) + 36 = 0

Combine like terms: 1x + -4x = -3x
2(-2 + -3x + 2x2)(3 + x) + 36 = 0

Multiply (-2 + -3x + 2x2) * (3 + x)
2(-2(3 + x) + -3x * (3 + x) + 2x2 * (3 + x)) + 36 = 0
2((3 * -2 + x * -2) + -3x * (3 + x) + 2x2 * (3 + x)) + 36 = 0
2((-6 + -2x) + -3x * (3 + x) + 2x2 * (3 + x)) + 36 = 0
2(-6 + -2x + (3 * -3x + x * -3x) + 2x2 * (3 + x)) + 36 = 0
2(-6 + -2x + (-9x + -3x2) + 2x2 * (3 + x)) + 36 = 0
2(-6 + -2x + -9x + -3x2 + (3 * 2x2 + x * 2x2)) + 36 = 0
2(-6 + -2x + -9x + -3x2 + (6x2 + 2x3)) + 36 = 0

Combine like terms: -2x + -9x = -11x
2(-6 + -11x + -3x2 + 6x2 + 2x3) + 36 = 0

Combine like terms: -3x2 + 6x2 = 3x2
2(-6 + -11x + 3x2 + 2x3) + 36 = 0
(-6 * 2 + -11x * 2 + 3x2 * 2 + 2x3 * 2) + 36 = 0
(-12 + -22x + 6x2 + 4x3) + 36 = 0

Reorder the terms:
-12 + 36 + -22x + 6x2 + 4x3 = 0

Combine like terms: -12 + 36 = 24
24 + -22x + 6x2 + 4x3 = 0

Solving
24 + -22x + 6x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -11x + 3x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(12 + -11x + 3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
12 + -11x + 3x2 + 2x3 = 0

Solving
12 + -11x + 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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