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

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


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

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

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

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

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

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

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

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

Solving for variable 'x'.

Reorder the terms:
-72 + -9x + -1x + 8x2 + x3 = x + -1x

Combine like terms: -9x + -1x = -10x
-72 + -10x + 8x2 + x3 = x + -1x

Combine like terms: x + -1x = 0
-72 + -10x + 8x2 + x3 = 0

The solution to this equation could not be determined.

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