(x-1)(x-2)(x+6)=60

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Solution for (x-1)(x-2)(x+6)=60 equation: 


Simplifying
(x + -1)(x + -2)(x + 6) = 60

Reorder the terms:
(-1 + x)(x + -2)(x + 6) = 60

Reorder the terms:
(-1 + x)(-2 + x)(x + 6) = 60

Reorder the terms:
(-1 + x)(-2 + x)(6 + x) = 60

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(6 + x) = 60
((-2 * -1 + x * -1) + x(-2 + x))(6 + x) = 60
((2 + -1x) + x(-2 + x))(6 + x) = 60
(2 + -1x + (-2 * x + x * x))(6 + x) = 60
(2 + -1x + (-2x + x2))(6 + x) = 60

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(6 + x) = 60

Multiply (2 + -3x + x2) * (6 + x)
(2(6 + x) + -3x * (6 + x) + x2(6 + x)) = 60
((6 * 2 + x * 2) + -3x * (6 + x) + x2(6 + x)) = 60
((12 + 2x) + -3x * (6 + x) + x2(6 + x)) = 60
(12 + 2x + (6 * -3x + x * -3x) + x2(6 + x)) = 60
(12 + 2x + (-18x + -3x2) + x2(6 + x)) = 60
(12 + 2x + -18x + -3x2 + (6 * x2 + x * x2)) = 60
(12 + 2x + -18x + -3x2 + (6x2 + x3)) = 60

Combine like terms: 2x + -18x = -16x
(12 + -16x + -3x2 + 6x2 + x3) = 60

Combine like terms: -3x2 + 6x2 = 3x2
(12 + -16x + 3x2 + x3) = 60

Solving
12 + -16x + 3x2 + x3 = 60

Solving for variable 'x'.

Reorder the terms:
12 + -60 + -16x + 3x2 + x3 = 60 + -60

Combine like terms: 12 + -60 = -48
-48 + -16x + 3x2 + x3 = 60 + -60

Combine like terms: 60 + -60 = 0
-48 + -16x + 3x2 + x3 = 0

The solution to this equation could not be determined.

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