(x-1)(x-5)(x-6)=0

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Solution for (x-1)(x-5)(x-6)=0 equation:


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

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

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

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

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

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

Multiply (5 + -6x + x2) * (-6 + x)
(5(-6 + x) + -6x * (-6 + x) + x2(-6 + x)) = 0
((-6 * 5 + x * 5) + -6x * (-6 + x) + x2(-6 + x)) = 0
((-30 + 5x) + -6x * (-6 + x) + x2(-6 + x)) = 0
(-30 + 5x + (-6 * -6x + x * -6x) + x2(-6 + x)) = 0
(-30 + 5x + (36x + -6x2) + x2(-6 + x)) = 0
(-30 + 5x + 36x + -6x2 + (-6 * x2 + x * x2)) = 0
(-30 + 5x + 36x + -6x2 + (-6x2 + x3)) = 0

Combine like terms: 5x + 36x = 41x
(-30 + 41x + -6x2 + -6x2 + x3) = 0

Combine like terms: -6x2 + -6x2 = -12x2
(-30 + 41x + -12x2 + x3) = 0

Solving
-30 + 41x + -12x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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