(2x-3)(-4x+2)(9x+22)=0

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Solution for (2x-3)(-4x+2)(9x+22)=0 equation: 


Simplifying
(2x + -3)(-4x + 2)(9x + 22) = 0

Reorder the terms:
(-3 + 2x)(-4x + 2)(9x + 22) = 0

Reorder the terms:
(-3 + 2x)(2 + -4x)(9x + 22) = 0

Reorder the terms:
(-3 + 2x)(2 + -4x)(22 + 9x) = 0

Multiply (-3 + 2x) * (2 + -4x)
(-3(2 + -4x) + 2x * (2 + -4x))(22 + 9x) = 0
((2 * -3 + -4x * -3) + 2x * (2 + -4x))(22 + 9x) = 0
((-6 + 12x) + 2x * (2 + -4x))(22 + 9x) = 0
(-6 + 12x + (2 * 2x + -4x * 2x))(22 + 9x) = 0
(-6 + 12x + (4x + -8x2))(22 + 9x) = 0

Combine like terms: 12x + 4x = 16x
(-6 + 16x + -8x2)(22 + 9x) = 0

Multiply (-6 + 16x + -8x2) * (22 + 9x)
(-6(22 + 9x) + 16x * (22 + 9x) + -8x2 * (22 + 9x)) = 0
((22 * -6 + 9x * -6) + 16x * (22 + 9x) + -8x2 * (22 + 9x)) = 0
((-132 + -54x) + 16x * (22 + 9x) + -8x2 * (22 + 9x)) = 0
(-132 + -54x + (22 * 16x + 9x * 16x) + -8x2 * (22 + 9x)) = 0
(-132 + -54x + (352x + 144x2) + -8x2 * (22 + 9x)) = 0
(-132 + -54x + 352x + 144x2 + (22 * -8x2 + 9x * -8x2)) = 0
(-132 + -54x + 352x + 144x2 + (-176x2 + -72x3)) = 0

Combine like terms: -54x + 352x = 298x
(-132 + 298x + 144x2 + -176x2 + -72x3) = 0

Combine like terms: 144x2 + -176x2 = -32x2
(-132 + 298x + -32x2 + -72x3) = 0

Solving
-132 + 298x + -32x2 + -72x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-66 + 149x + -16x2 + -36x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-66 + 149x + -16x2 + -36x3)' equal to zero and attempt to solve:

Simplifying
-66 + 149x + -16x2 + -36x3 = 0

Solving
-66 + 149x + -16x2 + -36x3 = 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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