(x+1)(x+5)(x-2)(x-6)=

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Solution for (x+1)(x+5)(x-2)(x-6)= equation:


Simplifying
(x + 1)(x + 5)(x + -2)(x + -6) = 0

Reorder the terms:
(1 + x)(x + 5)(x + -2)(x + -6) = 0

Reorder the terms:
(1 + x)(5 + x)(x + -2)(x + -6) = 0

Reorder the terms:
(1 + x)(5 + x)(-2 + x)(x + -6) = 0

Reorder the terms:
(1 + x)(5 + x)(-2 + x)(-6 + x) = 0

Multiply (1 + x) * (5 + x)
(1(5 + x) + x(5 + x))(-2 + x)(-6 + x) = 0
((5 * 1 + x * 1) + x(5 + x))(-2 + x)(-6 + x) = 0
((5 + 1x) + x(5 + x))(-2 + x)(-6 + x) = 0
(5 + 1x + (5 * x + x * x))(-2 + x)(-6 + x) = 0
(5 + 1x + (5x + x2))(-2 + x)(-6 + x) = 0

Combine like terms: 1x + 5x = 6x
(5 + 6x + x2)(-2 + x)(-6 + x) = 0

Multiply (5 + 6x + x2) * (-2 + x)
(5(-2 + x) + 6x * (-2 + x) + x2(-2 + x))(-6 + x) = 0
((-2 * 5 + x * 5) + 6x * (-2 + x) + x2(-2 + x))(-6 + x) = 0
((-10 + 5x) + 6x * (-2 + x) + x2(-2 + x))(-6 + x) = 0
(-10 + 5x + (-2 * 6x + x * 6x) + x2(-2 + x))(-6 + x) = 0
(-10 + 5x + (-12x + 6x2) + x2(-2 + x))(-6 + x) = 0
(-10 + 5x + -12x + 6x2 + (-2 * x2 + x * x2))(-6 + x) = 0
(-10 + 5x + -12x + 6x2 + (-2x2 + x3))(-6 + x) = 0

Combine like terms: 5x + -12x = -7x
(-10 + -7x + 6x2 + -2x2 + x3)(-6 + x) = 0

Combine like terms: 6x2 + -2x2 = 4x2
(-10 + -7x + 4x2 + x3)(-6 + x) = 0

Multiply (-10 + -7x + 4x2 + x3) * (-6 + x)
(-10(-6 + x) + -7x * (-6 + x) + 4x2 * (-6 + x) + x3(-6 + x)) = 0
((-6 * -10 + x * -10) + -7x * (-6 + x) + 4x2 * (-6 + x) + x3(-6 + x)) = 0
((60 + -10x) + -7x * (-6 + x) + 4x2 * (-6 + x) + x3(-6 + x)) = 0
(60 + -10x + (-6 * -7x + x * -7x) + 4x2 * (-6 + x) + x3(-6 + x)) = 0
(60 + -10x + (42x + -7x2) + 4x2 * (-6 + x) + x3(-6 + x)) = 0
(60 + -10x + 42x + -7x2 + (-6 * 4x2 + x * 4x2) + x3(-6 + x)) = 0
(60 + -10x + 42x + -7x2 + (-24x2 + 4x3) + x3(-6 + x)) = 0
(60 + -10x + 42x + -7x2 + -24x2 + 4x3 + (-6 * x3 + x * x3)) = 0
(60 + -10x + 42x + -7x2 + -24x2 + 4x3 + (-6x3 + x4)) = 0

Combine like terms: -10x + 42x = 32x
(60 + 32x + -7x2 + -24x2 + 4x3 + -6x3 + x4) = 0

Combine like terms: -7x2 + -24x2 = -31x2
(60 + 32x + -31x2 + 4x3 + -6x3 + x4) = 0

Combine like terms: 4x3 + -6x3 = -2x3
(60 + 32x + -31x2 + -2x3 + x4) = 0

Solving
60 + 32x + -31x2 + -2x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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