(x^2+5x+6)(x^2-5x-24)=0

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Solution for (x^2+5x+6)(x^2-5x-24)=0 equation: 


Simplifying
(x2 + 5x + 6)(x2 + -5x + -24) = 0

Reorder the terms:
(6 + 5x + x2)(x2 + -5x + -24) = 0

Reorder the terms:
(6 + 5x + x2)(-24 + -5x + x2) = 0

Multiply (6 + 5x + x2) * (-24 + -5x + x2)
(6(-24 + -5x + x2) + 5x * (-24 + -5x + x2) + x2(-24 + -5x + x2)) = 0
((-24 * 6 + -5x * 6 + x2 * 6) + 5x * (-24 + -5x + x2) + x2(-24 + -5x + x2)) = 0
((-144 + -30x + 6x2) + 5x * (-24 + -5x + x2) + x2(-24 + -5x + x2)) = 0
(-144 + -30x + 6x2 + (-24 * 5x + -5x * 5x + x2 * 5x) + x2(-24 + -5x + x2)) = 0
(-144 + -30x + 6x2 + (-120x + -25x2 + 5x3) + x2(-24 + -5x + x2)) = 0
(-144 + -30x + 6x2 + -120x + -25x2 + 5x3 + (-24 * x2 + -5x * x2 + x2 * x2)) = 0
(-144 + -30x + 6x2 + -120x + -25x2 + 5x3 + (-24x2 + -5x3 + x4)) = 0

Reorder the terms:
(-144 + -30x + -120x + 6x2 + -25x2 + -24x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: -30x + -120x = -150x
(-144 + -150x + 6x2 + -25x2 + -24x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: 6x2 + -25x2 = -19x2
(-144 + -150x + -19x2 + -24x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: -19x2 + -24x2 = -43x2
(-144 + -150x + -43x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: 5x3 + -5x3 = 0
(-144 + -150x + -43x2 + 0 + x4) = 0
(-144 + -150x + -43x2 + x4) = 0

Solving
-144 + -150x + -43x2 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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