=(x^2-5x+6)(x-1)

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Solution for =(x^2-5x+6)(x-1) equation: 


Simplifying
0 = (x2 + -5x + 6)(x + -1)

Reorder the terms:
0 = (6 + -5x + x2)(x + -1)

Reorder the terms:
0 = (6 + -5x + x2)(-1 + x)

Multiply (6 + -5x + x2) * (-1 + x)
0 = (6(-1 + x) + -5x * (-1 + x) + x2(-1 + x))
0 = ((-1 * 6 + x * 6) + -5x * (-1 + x) + x2(-1 + x))
0 = ((-6 + 6x) + -5x * (-1 + x) + x2(-1 + x))
0 = (-6 + 6x + (-1 * -5x + x * -5x) + x2(-1 + x))
0 = (-6 + 6x + (5x + -5x2) + x2(-1 + x))
0 = (-6 + 6x + 5x + -5x2 + (-1 * x2 + x * x2))
0 = (-6 + 6x + 5x + -5x2 + (-1x2 + x3))

Combine like terms: 6x + 5x = 11x
0 = (-6 + 11x + -5x2 + -1x2 + x3)

Combine like terms: -5x2 + -1x2 = -6x2
0 = (-6 + 11x + -6x2 + x3)

Solving
0 = -6 + 11x + -6x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -11x + 6x2 + -1x3 = -6 + 11x + -6x2 + x3 + 6 + -11x + 6x2 + -1x3

Reorder the terms:
6 + -11x + 6x2 + -1x3 = -6 + 6 + 11x + -11x + -6x2 + 6x2 + x3 + -1x3

Combine like terms: -6 + 6 = 0
6 + -11x + 6x2 + -1x3 = 0 + 11x + -11x + -6x2 + 6x2 + x3 + -1x3
6 + -11x + 6x2 + -1x3 = 11x + -11x + -6x2 + 6x2 + x3 + -1x3

Combine like terms: 11x + -11x = 0
6 + -11x + 6x2 + -1x3 = 0 + -6x2 + 6x2 + x3 + -1x3
6 + -11x + 6x2 + -1x3 = -6x2 + 6x2 + x3 + -1x3

Combine like terms: -6x2 + 6x2 = 0
6 + -11x + 6x2 + -1x3 = 0 + x3 + -1x3
6 + -11x + 6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
6 + -11x + 6x2 + -1x3 = 0

The solution to this equation could not be determined.

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