(x-1)(x^2+2x-16)=6(x+4)

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Solution for (x-1)(x^2+2x-16)=6(x+4) equation:


Simplifying
(x + -1)(x2 + 2x + -16) = 6(x + 4)

Reorder the terms:
(-1 + x)(x2 + 2x + -16) = 6(x + 4)

Reorder the terms:
(-1 + x)(-16 + 2x + x2) = 6(x + 4)

Multiply (-1 + x) * (-16 + 2x + x2)
(-1(-16 + 2x + x2) + x(-16 + 2x + x2)) = 6(x + 4)
((-16 * -1 + 2x * -1 + x2 * -1) + x(-16 + 2x + x2)) = 6(x + 4)
((16 + -2x + -1x2) + x(-16 + 2x + x2)) = 6(x + 4)
(16 + -2x + -1x2 + (-16 * x + 2x * x + x2 * x)) = 6(x + 4)
(16 + -2x + -1x2 + (-16x + 2x2 + x3)) = 6(x + 4)

Reorder the terms:
(16 + -2x + -16x + -1x2 + 2x2 + x3) = 6(x + 4)

Combine like terms: -2x + -16x = -18x
(16 + -18x + -1x2 + 2x2 + x3) = 6(x + 4)

Combine like terms: -1x2 + 2x2 = 1x2
(16 + -18x + 1x2 + x3) = 6(x + 4)

Reorder the terms:
16 + -18x + 1x2 + x3 = 6(4 + x)
16 + -18x + 1x2 + x3 = (4 * 6 + x * 6)
16 + -18x + 1x2 + x3 = (24 + 6x)

Solving
16 + -18x + 1x2 + x3 = 24 + 6x

Solving for variable 'x'.

Reorder the terms:
16 + -24 + -18x + -6x + 1x2 + x3 = 24 + 6x + -24 + -6x

Combine like terms: 16 + -24 = -8
-8 + -18x + -6x + 1x2 + x3 = 24 + 6x + -24 + -6x

Combine like terms: -18x + -6x = -24x
-8 + -24x + 1x2 + x3 = 24 + 6x + -24 + -6x

Reorder the terms:
-8 + -24x + 1x2 + x3 = 24 + -24 + 6x + -6x

Combine like terms: 24 + -24 = 0
-8 + -24x + 1x2 + x3 = 0 + 6x + -6x
-8 + -24x + 1x2 + x3 = 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -24x + 1x2 + x3 = 0

The solution to this equation could not be determined.

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