(x+3)(x^2+5x-24)=8

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Solution for (x+3)(x^2+5x-24)=8 equation: 


Simplifying
(x + 3)(x2 + 5x + -24) = 8

Reorder the terms:
(3 + x)(x2 + 5x + -24) = 8

Reorder the terms:
(3 + x)(-24 + 5x + x2) = 8

Multiply (3 + x) * (-24 + 5x + x2)
(3(-24 + 5x + x2) + x(-24 + 5x + x2)) = 8
((-24 * 3 + 5x * 3 + x2 * 3) + x(-24 + 5x + x2)) = 8
((-72 + 15x + 3x2) + x(-24 + 5x + x2)) = 8
(-72 + 15x + 3x2 + (-24 * x + 5x * x + x2 * x)) = 8
(-72 + 15x + 3x2 + (-24x + 5x2 + x3)) = 8

Reorder the terms:
(-72 + 15x + -24x + 3x2 + 5x2 + x3) = 8

Combine like terms: 15x + -24x = -9x
(-72 + -9x + 3x2 + 5x2 + x3) = 8

Combine like terms: 3x2 + 5x2 = 8x2
(-72 + -9x + 8x2 + x3) = 8

Solving
-72 + -9x + 8x2 + x3 = 8

Solving for variable 'x'.

Reorder the terms:
-72 + -8 + -9x + 8x2 + x3 = 8 + -8

Combine like terms: -72 + -8 = -80
-80 + -9x + 8x2 + x3 = 8 + -8

Combine like terms: 8 + -8 = 0
-80 + -9x + 8x2 + x3 = 0

The solution to this equation could not be determined.

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