x(x-3)(x+6)(x-7)=0

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Solution for x(x-3)(x+6)(x-7)=0 equation: 


Simplifying
x(x + -3)(x + 6)(x + -7) = 0

Reorder the terms:
x(-3 + x)(x + 6)(x + -7) = 0

Reorder the terms:
x(-3 + x)(6 + x)(x + -7) = 0

Reorder the terms:
x(-3 + x)(6 + x)(-7 + x) = 0

Multiply (-3 + x) * (6 + x)
x(-3(6 + x) + x(6 + x))(-7 + x) = 0
x((6 * -3 + x * -3) + x(6 + x))(-7 + x) = 0
x((-18 + -3x) + x(6 + x))(-7 + x) = 0
x(-18 + -3x + (6 * x + x * x))(-7 + x) = 0
x(-18 + -3x + (6x + x2))(-7 + x) = 0

Combine like terms: -3x + 6x = 3x
x(-18 + 3x + x2)(-7 + x) = 0

Multiply (-18 + 3x + x2) * (-7 + x)
x(-18(-7 + x) + 3x * (-7 + x) + x2(-7 + x)) = 0
x((-7 * -18 + x * -18) + 3x * (-7 + x) + x2(-7 + x)) = 0
x((126 + -18x) + 3x * (-7 + x) + x2(-7 + x)) = 0
x(126 + -18x + (-7 * 3x + x * 3x) + x2(-7 + x)) = 0
x(126 + -18x + (-21x + 3x2) + x2(-7 + x)) = 0
x(126 + -18x + -21x + 3x2 + (-7 * x2 + x * x2)) = 0
x(126 + -18x + -21x + 3x2 + (-7x2 + x3)) = 0

Combine like terms: -18x + -21x = -39x
x(126 + -39x + 3x2 + -7x2 + x3) = 0

Combine like terms: 3x2 + -7x2 = -4x2
x(126 + -39x + -4x2 + x3) = 0
(126 * x + -39x * x + -4x2 * x + x3 * x) = 0
(126x + -39x2 + -4x3 + x4) = 0

Solving
126x + -39x2 + -4x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(126 + -39x + -4x2 + 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 '(126 + -39x + -4x2 + x3)' equal to zero and attempt to solve:

Simplifying
126 + -39x + -4x2 + x3 = 0

Solving
126 + -39x + -4x2 + 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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