(x-6)(x-7)(x-8)=0

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Solution for (x-6)(x-7)(x-8)=0 equation:


Simplifying
(x + -6)(x + -7)(x + -8) = 0

Reorder the terms:
(-6 + x)(x + -7)(x + -8) = 0

Reorder the terms:
(-6 + x)(-7 + x)(x + -8) = 0

Reorder the terms:
(-6 + x)(-7 + x)(-8 + x) = 0

Multiply (-6 + x) * (-7 + x)
(-6(-7 + x) + x(-7 + x))(-8 + x) = 0
((-7 * -6 + x * -6) + x(-7 + x))(-8 + x) = 0
((42 + -6x) + x(-7 + x))(-8 + x) = 0
(42 + -6x + (-7 * x + x * x))(-8 + x) = 0
(42 + -6x + (-7x + x2))(-8 + x) = 0

Combine like terms: -6x + -7x = -13x
(42 + -13x + x2)(-8 + x) = 0

Multiply (42 + -13x + x2) * (-8 + x)
(42(-8 + x) + -13x * (-8 + x) + x2(-8 + x)) = 0
((-8 * 42 + x * 42) + -13x * (-8 + x) + x2(-8 + x)) = 0
((-336 + 42x) + -13x * (-8 + x) + x2(-8 + x)) = 0
(-336 + 42x + (-8 * -13x + x * -13x) + x2(-8 + x)) = 0
(-336 + 42x + (104x + -13x2) + x2(-8 + x)) = 0
(-336 + 42x + 104x + -13x2 + (-8 * x2 + x * x2)) = 0
(-336 + 42x + 104x + -13x2 + (-8x2 + x3)) = 0

Combine like terms: 42x + 104x = 146x
(-336 + 146x + -13x2 + -8x2 + x3) = 0

Combine like terms: -13x2 + -8x2 = -21x2
(-336 + 146x + -21x2 + x3) = 0

Solving
-336 + 146x + -21x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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