(x^2-x-30)(4x+24)=0

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Solution for (x^2-x-30)(4x+24)=0 equation: 


Simplifying
(x2 + -1x + -30)(4x + 24) = 0

Reorder the terms:
(-30 + -1x + x2)(4x + 24) = 0

Reorder the terms:
(-30 + -1x + x2)(24 + 4x) = 0

Multiply (-30 + -1x + x2) * (24 + 4x)
(-30(24 + 4x) + -1x * (24 + 4x) + x2(24 + 4x)) = 0
((24 * -30 + 4x * -30) + -1x * (24 + 4x) + x2(24 + 4x)) = 0
((-720 + -120x) + -1x * (24 + 4x) + x2(24 + 4x)) = 0
(-720 + -120x + (24 * -1x + 4x * -1x) + x2(24 + 4x)) = 0
(-720 + -120x + (-24x + -4x2) + x2(24 + 4x)) = 0
(-720 + -120x + -24x + -4x2 + (24 * x2 + 4x * x2)) = 0
(-720 + -120x + -24x + -4x2 + (24x2 + 4x3)) = 0

Combine like terms: -120x + -24x = -144x
(-720 + -144x + -4x2 + 24x2 + 4x3) = 0

Combine like terms: -4x2 + 24x2 = 20x2
(-720 + -144x + 20x2 + 4x3) = 0

Solving
-720 + -144x + 20x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-180 + -36x + 5x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-180 + -36x + 5x2 + x3)' equal to zero and attempt to solve:

Simplifying
-180 + -36x + 5x2 + x3 = 0

Solving
-180 + -36x + 5x2 + 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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