(x-1)(x+3)(x-2)(x-6)+36=0

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Solution for (x-1)(x+3)(x-2)(x-6)+36=0 equation: 


Simplifying
(x + -1)(x + 3)(x + -2)(x + -6) + 36 = 0

Reorder the terms:
(-1 + x)(x + 3)(x + -2)(x + -6) + 36 = 0

Reorder the terms:
(-1 + x)(3 + x)(x + -2)(x + -6) + 36 = 0

Reorder the terms:
(-1 + x)(3 + x)(-2 + x)(x + -6) + 36 = 0

Reorder the terms:
(-1 + x)(3 + x)(-2 + x)(-6 + x) + 36 = 0

Multiply (-1 + x) * (3 + x)
(-1(3 + x) + x(3 + x))(-2 + x)(-6 + x) + 36 = 0
((3 * -1 + x * -1) + x(3 + x))(-2 + x)(-6 + x) + 36 = 0
((-3 + -1x) + x(3 + x))(-2 + x)(-6 + x) + 36 = 0
(-3 + -1x + (3 * x + x * x))(-2 + x)(-6 + x) + 36 = 0
(-3 + -1x + (3x + x2))(-2 + x)(-6 + x) + 36 = 0

Combine like terms: -1x + 3x = 2x
(-3 + 2x + x2)(-2 + x)(-6 + x) + 36 = 0

Multiply (-3 + 2x + x2) * (-2 + x)
(-3(-2 + x) + 2x * (-2 + x) + x2(-2 + x))(-6 + x) + 36 = 0
((-2 * -3 + x * -3) + 2x * (-2 + x) + x2(-2 + x))(-6 + x) + 36 = 0
((6 + -3x) + 2x * (-2 + x) + x2(-2 + x))(-6 + x) + 36 = 0
(6 + -3x + (-2 * 2x + x * 2x) + x2(-2 + x))(-6 + x) + 36 = 0
(6 + -3x + (-4x + 2x2) + x2(-2 + x))(-6 + x) + 36 = 0
(6 + -3x + -4x + 2x2 + (-2 * x2 + x * x2))(-6 + x) + 36 = 0
(6 + -3x + -4x + 2x2 + (-2x2 + x3))(-6 + x) + 36 = 0

Combine like terms: -3x + -4x = -7x
(6 + -7x + 2x2 + -2x2 + x3)(-6 + x) + 36 = 0

Combine like terms: 2x2 + -2x2 = 0
(6 + -7x + 0 + x3)(-6 + x) + 36 = 0
(6 + -7x + x3)(-6 + x) + 36 = 0

Multiply (6 + -7x + x3) * (-6 + x)
(6(-6 + x) + -7x * (-6 + x) + x3(-6 + x)) + 36 = 0
((-6 * 6 + x * 6) + -7x * (-6 + x) + x3(-6 + x)) + 36 = 0
((-36 + 6x) + -7x * (-6 + x) + x3(-6 + x)) + 36 = 0
(-36 + 6x + (-6 * -7x + x * -7x) + x3(-6 + x)) + 36 = 0
(-36 + 6x + (42x + -7x2) + x3(-6 + x)) + 36 = 0
(-36 + 6x + 42x + -7x2 + (-6 * x3 + x * x3)) + 36 = 0
(-36 + 6x + 42x + -7x2 + (-6x3 + x4)) + 36 = 0

Combine like terms: 6x + 42x = 48x
(-36 + 48x + -7x2 + -6x3 + x4) + 36 = 0

Reorder the terms:
-36 + 36 + 48x + -7x2 + -6x3 + x4 = 0

Combine like terms: -36 + 36 = 0
0 + 48x + -7x2 + -6x3 + x4 = 0
48x + -7x2 + -6x3 + x4 = 0

Solving
48x + -7x2 + -6x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(48 + -7x + -6x2 + x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(48 + -7x + -6x2 + x3)' equal to zero and attempt to solve:

Simplifying
48 + -7x + -6x2 + x3 = 0

Solving
48 + -7x + -6x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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