(4x+8)(x-9)(x+3)=0

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Solution for (4x+8)(x-9)(x+3)=0 equation: 


Simplifying
(4x + 8)(x + -9)(x + 3) = 0

Reorder the terms:
(8 + 4x)(x + -9)(x + 3) = 0

Reorder the terms:
(8 + 4x)(-9 + x)(x + 3) = 0

Reorder the terms:
(8 + 4x)(-9 + x)(3 + x) = 0

Multiply (8 + 4x) * (-9 + x)
(8(-9 + x) + 4x * (-9 + x))(3 + x) = 0
((-9 * 8 + x * 8) + 4x * (-9 + x))(3 + x) = 0
((-72 + 8x) + 4x * (-9 + x))(3 + x) = 0
(-72 + 8x + (-9 * 4x + x * 4x))(3 + x) = 0
(-72 + 8x + (-36x + 4x2))(3 + x) = 0

Combine like terms: 8x + -36x = -28x
(-72 + -28x + 4x2)(3 + x) = 0

Multiply (-72 + -28x + 4x2) * (3 + x)
(-72(3 + x) + -28x * (3 + x) + 4x2 * (3 + x)) = 0
((3 * -72 + x * -72) + -28x * (3 + x) + 4x2 * (3 + x)) = 0
((-216 + -72x) + -28x * (3 + x) + 4x2 * (3 + x)) = 0
(-216 + -72x + (3 * -28x + x * -28x) + 4x2 * (3 + x)) = 0
(-216 + -72x + (-84x + -28x2) + 4x2 * (3 + x)) = 0
(-216 + -72x + -84x + -28x2 + (3 * 4x2 + x * 4x2)) = 0
(-216 + -72x + -84x + -28x2 + (12x2 + 4x3)) = 0

Combine like terms: -72x + -84x = -156x
(-216 + -156x + -28x2 + 12x2 + 4x3) = 0

Combine like terms: -28x2 + 12x2 = -16x2
(-216 + -156x + -16x2 + 4x3) = 0

Solving
-216 + -156x + -16x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-54 + -39x + -4x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-54 + -39x + -4x2 + x3)' equal to zero and attempt to solve:

Simplifying
-54 + -39x + -4x2 + x3 = 0

Solving
-54 + -39x + -4x2 + x3 = 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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