(x-6)(x-2)(x+7)=0

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Solution for (x-6)(x-2)(x+7)=0 equation:


Simplifying
(x + -6)(x + -2)(x + 7) = 0

Reorder the terms:
(-6 + x)(x + -2)(x + 7) = 0

Reorder the terms:
(-6 + x)(-2 + x)(x + 7) = 0

Reorder the terms:
(-6 + x)(-2 + x)(7 + x) = 0

Multiply (-6 + x) * (-2 + x)
(-6(-2 + x) + x(-2 + x))(7 + x) = 0
((-2 * -6 + x * -6) + x(-2 + x))(7 + x) = 0
((12 + -6x) + x(-2 + x))(7 + x) = 0
(12 + -6x + (-2 * x + x * x))(7 + x) = 0
(12 + -6x + (-2x + x2))(7 + x) = 0

Combine like terms: -6x + -2x = -8x
(12 + -8x + x2)(7 + x) = 0

Multiply (12 + -8x + x2) * (7 + x)
(12(7 + x) + -8x * (7 + x) + x2(7 + x)) = 0
((7 * 12 + x * 12) + -8x * (7 + x) + x2(7 + x)) = 0
((84 + 12x) + -8x * (7 + x) + x2(7 + x)) = 0
(84 + 12x + (7 * -8x + x * -8x) + x2(7 + x)) = 0
(84 + 12x + (-56x + -8x2) + x2(7 + x)) = 0
(84 + 12x + -56x + -8x2 + (7 * x2 + x * x2)) = 0
(84 + 12x + -56x + -8x2 + (7x2 + x3)) = 0

Combine like terms: 12x + -56x = -44x
(84 + -44x + -8x2 + 7x2 + x3) = 0

Combine like terms: -8x2 + 7x2 = -1x2
(84 + -44x + -1x2 + x3) = 0

Solving
84 + -44x + -1x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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