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

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


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

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

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

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

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

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

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

Multiply (12 + -8x + x2) * (2 + x)
(12(2 + x) + -8x * (2 + x) + x2(2 + x))(7 + x) = 0
((2 * 12 + x * 12) + -8x * (2 + x) + x2(2 + x))(7 + x) = 0
((24 + 12x) + -8x * (2 + x) + x2(2 + x))(7 + x) = 0
(24 + 12x + (2 * -8x + x * -8x) + x2(2 + x))(7 + x) = 0
(24 + 12x + (-16x + -8x2) + x2(2 + x))(7 + x) = 0
(24 + 12x + -16x + -8x2 + (2 * x2 + x * x2))(7 + x) = 0
(24 + 12x + -16x + -8x2 + (2x2 + x3))(7 + x) = 0

Combine like terms: 12x + -16x = -4x
(24 + -4x + -8x2 + 2x2 + x3)(7 + x) = 0

Combine like terms: -8x2 + 2x2 = -6x2
(24 + -4x + -6x2 + x3)(7 + x) = 0

Multiply (24 + -4x + -6x2 + x3) * (7 + x)
(24(7 + x) + -4x * (7 + x) + -6x2 * (7 + x) + x3(7 + x)) = 0
((7 * 24 + x * 24) + -4x * (7 + x) + -6x2 * (7 + x) + x3(7 + x)) = 0
((168 + 24x) + -4x * (7 + x) + -6x2 * (7 + x) + x3(7 + x)) = 0
(168 + 24x + (7 * -4x + x * -4x) + -6x2 * (7 + x) + x3(7 + x)) = 0
(168 + 24x + (-28x + -4x2) + -6x2 * (7 + x) + x3(7 + x)) = 0
(168 + 24x + -28x + -4x2 + (7 * -6x2 + x * -6x2) + x3(7 + x)) = 0
(168 + 24x + -28x + -4x2 + (-42x2 + -6x3) + x3(7 + x)) = 0
(168 + 24x + -28x + -4x2 + -42x2 + -6x3 + (7 * x3 + x * x3)) = 0
(168 + 24x + -28x + -4x2 + -42x2 + -6x3 + (7x3 + x4)) = 0

Combine like terms: 24x + -28x = -4x
(168 + -4x + -4x2 + -42x2 + -6x3 + 7x3 + x4) = 0

Combine like terms: -4x2 + -42x2 = -46x2
(168 + -4x + -46x2 + -6x3 + 7x3 + x4) = 0

Combine like terms: -6x3 + 7x3 = 1x3
(168 + -4x + -46x2 + 1x3 + x4) = 0

Solving
168 + -4x + -46x2 + 1x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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