(x-4)(x-5)(x-6)=0

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Solution for (x-4)(x-5)(x-6)=0 equation:


Simplifying
(x + -4)(x + -5)(x + -6) = 0

Reorder the terms:
(-4 + x)(x + -5)(x + -6) = 0

Reorder the terms:
(-4 + x)(-5 + x)(x + -6) = 0

Reorder the terms:
(-4 + x)(-5 + x)(-6 + x) = 0

Multiply (-4 + x) * (-5 + x)
(-4(-5 + x) + x(-5 + x))(-6 + x) = 0
((-5 * -4 + x * -4) + x(-5 + x))(-6 + x) = 0
((20 + -4x) + x(-5 + x))(-6 + x) = 0
(20 + -4x + (-5 * x + x * x))(-6 + x) = 0
(20 + -4x + (-5x + x2))(-6 + x) = 0

Combine like terms: -4x + -5x = -9x
(20 + -9x + x2)(-6 + x) = 0

Multiply (20 + -9x + x2) * (-6 + x)
(20(-6 + x) + -9x * (-6 + x) + x2(-6 + x)) = 0
((-6 * 20 + x * 20) + -9x * (-6 + x) + x2(-6 + x)) = 0
((-120 + 20x) + -9x * (-6 + x) + x2(-6 + x)) = 0
(-120 + 20x + (-6 * -9x + x * -9x) + x2(-6 + x)) = 0
(-120 + 20x + (54x + -9x2) + x2(-6 + x)) = 0
(-120 + 20x + 54x + -9x2 + (-6 * x2 + x * x2)) = 0
(-120 + 20x + 54x + -9x2 + (-6x2 + x3)) = 0

Combine like terms: 20x + 54x = 74x
(-120 + 74x + -9x2 + -6x2 + x3) = 0

Combine like terms: -9x2 + -6x2 = -15x2
(-120 + 74x + -15x2 + x3) = 0

Solving
-120 + 74x + -15x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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