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

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


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

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

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

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

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

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

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

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

Combine like terms: 4x2 + -1x2 = 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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