0=(3x+1)(x^2-6x-24)

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Solution for 0=(3x+1)(x^2-6x-24) equation: 


Simplifying
0 = (3x + 1)(x2 + -6x + -24)

Reorder the terms:
0 = (1 + 3x)(x2 + -6x + -24)

Reorder the terms:
0 = (1 + 3x)(-24 + -6x + x2)

Multiply (1 + 3x) * (-24 + -6x + x2)
0 = (1(-24 + -6x + x2) + 3x * (-24 + -6x + x2))
0 = ((-24 * 1 + -6x * 1 + x2 * 1) + 3x * (-24 + -6x + x2))
0 = ((-24 + -6x + 1x2) + 3x * (-24 + -6x + x2))
0 = (-24 + -6x + 1x2 + (-24 * 3x + -6x * 3x + x2 * 3x))
0 = (-24 + -6x + 1x2 + (-72x + -18x2 + 3x3))

Reorder the terms:
0 = (-24 + -6x + -72x + 1x2 + -18x2 + 3x3)

Combine like terms: -6x + -72x = -78x
0 = (-24 + -78x + 1x2 + -18x2 + 3x3)

Combine like terms: 1x2 + -18x2 = -17x2
0 = (-24 + -78x + -17x2 + 3x3)

Solving
0 = -24 + -78x + -17x2 + 3x3

Solving for variable 'x'.

Combine like terms: 0 + 24 = 24
24 + 78x + 17x2 + -3x3 = -24 + -78x + -17x2 + 3x3 + 24 + 78x + 17x2 + -3x3

Reorder the terms:
24 + 78x + 17x2 + -3x3 = -24 + 24 + -78x + 78x + -17x2 + 17x2 + 3x3 + -3x3

Combine like terms: -24 + 24 = 0
24 + 78x + 17x2 + -3x3 = 0 + -78x + 78x + -17x2 + 17x2 + 3x3 + -3x3
24 + 78x + 17x2 + -3x3 = -78x + 78x + -17x2 + 17x2 + 3x3 + -3x3

Combine like terms: -78x + 78x = 0
24 + 78x + 17x2 + -3x3 = 0 + -17x2 + 17x2 + 3x3 + -3x3
24 + 78x + 17x2 + -3x3 = -17x2 + 17x2 + 3x3 + -3x3

Combine like terms: -17x2 + 17x2 = 0
24 + 78x + 17x2 + -3x3 = 0 + 3x3 + -3x3
24 + 78x + 17x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
24 + 78x + 17x2 + -3x3 = 0

The solution to this equation could not be determined.

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