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

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


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

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

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

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

Multiply (6 + x) * (-2 + x)
(6(-2 + x) + x(-2 + x))(-1 + x) = 60
((-2 * 6 + x * 6) + x(-2 + x))(-1 + x) = 60
((-12 + 6x) + x(-2 + x))(-1 + x) = 60
(-12 + 6x + (-2 * x + x * x))(-1 + x) = 60
(-12 + 6x + (-2x + x2))(-1 + x) = 60

Combine like terms: 6x + -2x = 4x
(-12 + 4x + x2)(-1 + x) = 60

Multiply (-12 + 4x + x2) * (-1 + x)
(-12(-1 + x) + 4x * (-1 + x) + x2(-1 + x)) = 60
((-1 * -12 + x * -12) + 4x * (-1 + x) + x2(-1 + x)) = 60
((12 + -12x) + 4x * (-1 + x) + x2(-1 + x)) = 60
(12 + -12x + (-1 * 4x + x * 4x) + x2(-1 + x)) = 60
(12 + -12x + (-4x + 4x2) + x2(-1 + x)) = 60
(12 + -12x + -4x + 4x2 + (-1 * x2 + x * x2)) = 60
(12 + -12x + -4x + 4x2 + (-1x2 + x3)) = 60

Combine like terms: -12x + -4x = -16x
(12 + -16x + 4x2 + -1x2 + x3) = 60

Combine like terms: 4x2 + -1x2 = 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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