(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 = -62x
(-336 + -62x + 13x2 + -8x2 + x3) = 0

Combine like terms: 13x2 + -8x2 = 5x2
(-336 + -62x + 5x2 + x3) = 0

Solving
-336 + -62x + 5x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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