(x+6)(4x^2+20x-24)=

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Solution for (x+6)(4x^2+20x-24)= equation:


Simplifying
(x + 6)(4x2 + 20x + -24) = 0

Reorder the terms:
(6 + x)(4x2 + 20x + -24) = 0

Reorder the terms:
(6 + x)(-24 + 20x + 4x2) = 0

Multiply (6 + x) * (-24 + 20x + 4x2)
(6(-24 + 20x + 4x2) + x(-24 + 20x + 4x2)) = 0
((-24 * 6 + 20x * 6 + 4x2 * 6) + x(-24 + 20x + 4x2)) = 0
((-144 + 120x + 24x2) + x(-24 + 20x + 4x2)) = 0
(-144 + 120x + 24x2 + (-24 * x + 20x * x + 4x2 * x)) = 0
(-144 + 120x + 24x2 + (-24x + 20x2 + 4x3)) = 0

Reorder the terms:
(-144 + 120x + -24x + 24x2 + 20x2 + 4x3) = 0

Combine like terms: 120x + -24x = 96x
(-144 + 96x + 24x2 + 20x2 + 4x3) = 0

Combine like terms: 24x2 + 20x2 = 44x2
(-144 + 96x + 44x2 + 4x3) = 0

Solving
-144 + 96x + 44x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-36 + 24x + 11x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-36 + 24x + 11x2 + x3)' equal to zero and attempt to solve: Simplifying -36 + 24x + 11x2 + x3 = 0 Solving -36 + 24x + 11x2 + 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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