(x+1)(x+2)(x-4)(x-6)+13=0

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Solution for (x+1)(x+2)(x-4)(x-6)+13=0 equation: 


Simplifying
(x + 1)(x + 2)(x + -4)(x + -6) + 13 = 0

Reorder the terms:
(1 + x)(x + 2)(x + -4)(x + -6) + 13 = 0

Reorder the terms:
(1 + x)(2 + x)(x + -4)(x + -6) + 13 = 0

Reorder the terms:
(1 + x)(2 + x)(-4 + x)(x + -6) + 13 = 0

Reorder the terms:
(1 + x)(2 + x)(-4 + x)(-6 + x) + 13 = 0

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x))(-4 + x)(-6 + x) + 13 = 0
((2 * 1 + x * 1) + x(2 + x))(-4 + x)(-6 + x) + 13 = 0
((2 + 1x) + x(2 + x))(-4 + x)(-6 + x) + 13 = 0
(2 + 1x + (2 * x + x * x))(-4 + x)(-6 + x) + 13 = 0
(2 + 1x + (2x + x2))(-4 + x)(-6 + x) + 13 = 0

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2)(-4 + x)(-6 + x) + 13 = 0

Multiply (2 + 3x + x2) * (-4 + x)
(2(-4 + x) + 3x * (-4 + x) + x2(-4 + x))(-6 + x) + 13 = 0
((-4 * 2 + x * 2) + 3x * (-4 + x) + x2(-4 + x))(-6 + x) + 13 = 0
((-8 + 2x) + 3x * (-4 + x) + x2(-4 + x))(-6 + x) + 13 = 0
(-8 + 2x + (-4 * 3x + x * 3x) + x2(-4 + x))(-6 + x) + 13 = 0
(-8 + 2x + (-12x + 3x2) + x2(-4 + x))(-6 + x) + 13 = 0
(-8 + 2x + -12x + 3x2 + (-4 * x2 + x * x2))(-6 + x) + 13 = 0
(-8 + 2x + -12x + 3x2 + (-4x2 + x3))(-6 + x) + 13 = 0

Combine like terms: 2x + -12x = -10x
(-8 + -10x + 3x2 + -4x2 + x3)(-6 + x) + 13 = 0

Combine like terms: 3x2 + -4x2 = -1x2
(-8 + -10x + -1x2 + x3)(-6 + x) + 13 = 0

Multiply (-8 + -10x + -1x2 + x3) * (-6 + x)
(-8(-6 + x) + -10x * (-6 + x) + -1x2 * (-6 + x) + x3(-6 + x)) + 13 = 0
((-6 * -8 + x * -8) + -10x * (-6 + x) + -1x2 * (-6 + x) + x3(-6 + x)) + 13 = 0
((48 + -8x) + -10x * (-6 + x) + -1x2 * (-6 + x) + x3(-6 + x)) + 13 = 0
(48 + -8x + (-6 * -10x + x * -10x) + -1x2 * (-6 + x) + x3(-6 + x)) + 13 = 0
(48 + -8x + (60x + -10x2) + -1x2 * (-6 + x) + x3(-6 + x)) + 13 = 0
(48 + -8x + 60x + -10x2 + (-6 * -1x2 + x * -1x2) + x3(-6 + x)) + 13 = 0
(48 + -8x + 60x + -10x2 + (6x2 + -1x3) + x3(-6 + x)) + 13 = 0
(48 + -8x + 60x + -10x2 + 6x2 + -1x3 + (-6 * x3 + x * x3)) + 13 = 0
(48 + -8x + 60x + -10x2 + 6x2 + -1x3 + (-6x3 + x4)) + 13 = 0

Combine like terms: -8x + 60x = 52x
(48 + 52x + -10x2 + 6x2 + -1x3 + -6x3 + x4) + 13 = 0

Combine like terms: -10x2 + 6x2 = -4x2
(48 + 52x + -4x2 + -1x3 + -6x3 + x4) + 13 = 0

Combine like terms: -1x3 + -6x3 = -7x3
(48 + 52x + -4x2 + -7x3 + x4) + 13 = 0

Reorder the terms:
48 + 13 + 52x + -4x2 + -7x3 + x4 = 0

Combine like terms: 48 + 13 = 61
61 + 52x + -4x2 + -7x3 + x4 = 0

Solving
61 + 52x + -4x2 + -7x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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