(x+5)(3x-9)(x+8)=0

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Solution for (x+5)(3x-9)(x+8)=0 equation: 


Simplifying
(x + 5)(3x + -9)(x + 8) = 0

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

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

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

Multiply (5 + x) * (-9 + 3x)
(5(-9 + 3x) + x(-9 + 3x))(8 + x) = 0
((-9 * 5 + 3x * 5) + x(-9 + 3x))(8 + x) = 0
((-45 + 15x) + x(-9 + 3x))(8 + x) = 0
(-45 + 15x + (-9 * x + 3x * x))(8 + x) = 0
(-45 + 15x + (-9x + 3x2))(8 + x) = 0

Combine like terms: 15x + -9x = 6x
(-45 + 6x + 3x2)(8 + x) = 0

Multiply (-45 + 6x + 3x2) * (8 + x)
(-45(8 + x) + 6x * (8 + x) + 3x2 * (8 + x)) = 0
((8 * -45 + x * -45) + 6x * (8 + x) + 3x2 * (8 + x)) = 0
((-360 + -45x) + 6x * (8 + x) + 3x2 * (8 + x)) = 0
(-360 + -45x + (8 * 6x + x * 6x) + 3x2 * (8 + x)) = 0
(-360 + -45x + (48x + 6x2) + 3x2 * (8 + x)) = 0
(-360 + -45x + 48x + 6x2 + (8 * 3x2 + x * 3x2)) = 0
(-360 + -45x + 48x + 6x2 + (24x2 + 3x3)) = 0

Combine like terms: -45x + 48x = 3x
(-360 + 3x + 6x2 + 24x2 + 3x3) = 0

Combine like terms: 6x2 + 24x2 = 30x2
(-360 + 3x + 30x2 + 3x3) = 0

Solving
-360 + 3x + 30x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-120 + x + 10x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-120 + x + 10x2 + x3)' equal to zero and attempt to solve:

Simplifying
-120 + x + 10x2 + x3 = 0

Solving
-120 + x + 10x2 + 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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