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

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


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

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

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

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

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

Combine like terms: 6x + -1x = 5x
60 = (-6 + 5x + x2)(-2 + x)

Multiply (-6 + 5x + x2) * (-2 + x)
60 = (-6(-2 + x) + 5x * (-2 + x) + x2(-2 + x))
60 = ((-2 * -6 + x * -6) + 5x * (-2 + x) + x2(-2 + x))
60 = ((12 + -6x) + 5x * (-2 + x) + x2(-2 + x))
60 = (12 + -6x + (-2 * 5x + x * 5x) + x2(-2 + x))
60 = (12 + -6x + (-10x + 5x2) + x2(-2 + x))
60 = (12 + -6x + -10x + 5x2 + (-2 * x2 + x * x2))
60 = (12 + -6x + -10x + 5x2 + (-2x2 + x3))

Combine like terms: -6x + -10x = -16x
60 = (12 + -16x + 5x2 + -2x2 + x3)

Combine like terms: 5x2 + -2x2 = 3x2
60 = (12 + -16x + 3x2 + x3)

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

Solving for variable 'x'.

Combine like terms: 60 + -12 = 48
48 + 16x + -3x2 + -1x3 = 12 + -16x + 3x2 + x3 + -12 + 16x + -3x2 + -1x3

Reorder the terms:
48 + 16x + -3x2 + -1x3 = 12 + -12 + -16x + 16x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 12 + -12 = 0
48 + 16x + -3x2 + -1x3 = 0 + -16x + 16x + 3x2 + -3x2 + x3 + -1x3
48 + 16x + -3x2 + -1x3 = -16x + 16x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: -16x + 16x = 0
48 + 16x + -3x2 + -1x3 = 0 + 3x2 + -3x2 + x3 + -1x3
48 + 16x + -3x2 + -1x3 = 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x2 + -3x2 = 0
48 + 16x + -3x2 + -1x3 = 0 + x3 + -1x3
48 + 16x + -3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
48 + 16x + -3x2 + -1x3 = 0

The solution to this equation could not be determined.

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