(x+1)(x-2)(x-3)(x-6)=13

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Solution for (x+1)(x-2)(x-3)(x-6)=13 equation: 


Simplifying
(x + 1)(x + -2)(x + -3)(x + -6) = 13

Reorder the terms:
(1 + x)(x + -2)(x + -3)(x + -6) = 13

Reorder the terms:
(1 + x)(-2 + x)(x + -3)(x + -6) = 13

Reorder the terms:
(1 + x)(-2 + x)(-3 + x)(x + -6) = 13

Reorder the terms:
(1 + x)(-2 + x)(-3 + x)(-6 + x) = 13

Multiply (1 + x) * (-2 + x)
(1(-2 + x) + x(-2 + x))(-3 + x)(-6 + x) = 13
((-2 * 1 + x * 1) + x(-2 + x))(-3 + x)(-6 + x) = 13
((-2 + 1x) + x(-2 + x))(-3 + x)(-6 + x) = 13
(-2 + 1x + (-2 * x + x * x))(-3 + x)(-6 + x) = 13
(-2 + 1x + (-2x + x2))(-3 + x)(-6 + x) = 13

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

Multiply (-2 + -1x + x2) * (-3 + x)
(-2(-3 + x) + -1x * (-3 + x) + x2(-3 + x))(-6 + x) = 13
((-3 * -2 + x * -2) + -1x * (-3 + x) + x2(-3 + x))(-6 + x) = 13
((6 + -2x) + -1x * (-3 + x) + x2(-3 + x))(-6 + x) = 13
(6 + -2x + (-3 * -1x + x * -1x) + x2(-3 + x))(-6 + x) = 13
(6 + -2x + (3x + -1x2) + x2(-3 + x))(-6 + x) = 13
(6 + -2x + 3x + -1x2 + (-3 * x2 + x * x2))(-6 + x) = 13
(6 + -2x + 3x + -1x2 + (-3x2 + x3))(-6 + x) = 13

Combine like terms: -2x + 3x = 1x
(6 + 1x + -1x2 + -3x2 + x3)(-6 + x) = 13

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

Multiply (6 + 1x + -4x2 + x3) * (-6 + x)
(6(-6 + x) + 1x * (-6 + x) + -4x2 * (-6 + x) + x3(-6 + x)) = 13
((-6 * 6 + x * 6) + 1x * (-6 + x) + -4x2 * (-6 + x) + x3(-6 + x)) = 13
((-36 + 6x) + 1x * (-6 + x) + -4x2 * (-6 + x) + x3(-6 + x)) = 13
(-36 + 6x + (-6 * 1x + x * 1x) + -4x2 * (-6 + x) + x3(-6 + x)) = 13
(-36 + 6x + (-6x + 1x2) + -4x2 * (-6 + x) + x3(-6 + x)) = 13
(-36 + 6x + -6x + 1x2 + (-6 * -4x2 + x * -4x2) + x3(-6 + x)) = 13
(-36 + 6x + -6x + 1x2 + (24x2 + -4x3) + x3(-6 + x)) = 13
(-36 + 6x + -6x + 1x2 + 24x2 + -4x3 + (-6 * x3 + x * x3)) = 13
(-36 + 6x + -6x + 1x2 + 24x2 + -4x3 + (-6x3 + x4)) = 13

Combine like terms: 6x + -6x = 0
(-36 + 0 + 1x2 + 24x2 + -4x3 + -6x3 + x4) = 13
(-36 + 1x2 + 24x2 + -4x3 + -6x3 + x4) = 13

Combine like terms: 1x2 + 24x2 = 25x2
(-36 + 25x2 + -4x3 + -6x3 + x4) = 13

Combine like terms: -4x3 + -6x3 = -10x3
(-36 + 25x2 + -10x3 + x4) = 13

Solving
-36 + 25x2 + -10x3 + x4 = 13

Solving for variable 'x'.

Reorder the terms:
-36 + -13 + 25x2 + -10x3 + x4 = 13 + -13

Combine like terms: -36 + -13 = -49
-49 + 25x2 + -10x3 + x4 = 13 + -13

Combine like terms: 13 + -13 = 0
-49 + 25x2 + -10x3 + x4 = 0

The solution to this equation could not be determined.

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