=(x^3-10x^2+28x-24)(x-4)

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Solution for =(x^3-10x^2+28x-24)(x-4) equation: 


Simplifying
0 = (x3 + -10x2 + 28x + -24)(x + -4)

Reorder the terms:
0 = (-24 + 28x + -10x2 + x3)(x + -4)

Reorder the terms:
0 = (-24 + 28x + -10x2 + x3)(-4 + x)

Multiply (-24 + 28x + -10x2 + x3) * (-4 + x)
0 = (-24(-4 + x) + 28x * (-4 + x) + -10x2 * (-4 + x) + x3(-4 + x))
0 = ((-4 * -24 + x * -24) + 28x * (-4 + x) + -10x2 * (-4 + x) + x3(-4 + x))
0 = ((96 + -24x) + 28x * (-4 + x) + -10x2 * (-4 + x) + x3(-4 + x))
0 = (96 + -24x + (-4 * 28x + x * 28x) + -10x2 * (-4 + x) + x3(-4 + x))
0 = (96 + -24x + (-112x + 28x2) + -10x2 * (-4 + x) + x3(-4 + x))
0 = (96 + -24x + -112x + 28x2 + (-4 * -10x2 + x * -10x2) + x3(-4 + x))
0 = (96 + -24x + -112x + 28x2 + (40x2 + -10x3) + x3(-4 + x))
0 = (96 + -24x + -112x + 28x2 + 40x2 + -10x3 + (-4 * x3 + x * x3))
0 = (96 + -24x + -112x + 28x2 + 40x2 + -10x3 + (-4x3 + x4))

Combine like terms: -24x + -112x = -136x
0 = (96 + -136x + 28x2 + 40x2 + -10x3 + -4x3 + x4)

Combine like terms: 28x2 + 40x2 = 68x2
0 = (96 + -136x + 68x2 + -10x3 + -4x3 + x4)

Combine like terms: -10x3 + -4x3 = -14x3
0 = (96 + -136x + 68x2 + -14x3 + x4)

Solving
0 = 96 + -136x + 68x2 + -14x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -96 = -96
-96 + 136x + -68x2 + 14x3 + -1x4 = 96 + -136x + 68x2 + -14x3 + x4 + -96 + 136x + -68x2 + 14x3 + -1x4

Reorder the terms:
-96 + 136x + -68x2 + 14x3 + -1x4 = 96 + -96 + -136x + 136x + 68x2 + -68x2 + -14x3 + 14x3 + x4 + -1x4

Combine like terms: 96 + -96 = 0
-96 + 136x + -68x2 + 14x3 + -1x4 = 0 + -136x + 136x + 68x2 + -68x2 + -14x3 + 14x3 + x4 + -1x4
-96 + 136x + -68x2 + 14x3 + -1x4 = -136x + 136x + 68x2 + -68x2 + -14x3 + 14x3 + x4 + -1x4

Combine like terms: -136x + 136x = 0
-96 + 136x + -68x2 + 14x3 + -1x4 = 0 + 68x2 + -68x2 + -14x3 + 14x3 + x4 + -1x4
-96 + 136x + -68x2 + 14x3 + -1x4 = 68x2 + -68x2 + -14x3 + 14x3 + x4 + -1x4

Combine like terms: 68x2 + -68x2 = 0
-96 + 136x + -68x2 + 14x3 + -1x4 = 0 + -14x3 + 14x3 + x4 + -1x4
-96 + 136x + -68x2 + 14x3 + -1x4 = -14x3 + 14x3 + x4 + -1x4

Combine like terms: -14x3 + 14x3 = 0
-96 + 136x + -68x2 + 14x3 + -1x4 = 0 + x4 + -1x4
-96 + 136x + -68x2 + 14x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-96 + 136x + -68x2 + 14x3 + -1x4 = 0

The solution to this equation could not be determined.

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