(x^2-6x)(x^2-9x+18)=0

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Solution for (x^2-6x)(x^2-9x+18)=0 equation: 


Simplifying
(x2 + -6x)(x2 + -9x + 18) = 0

Reorder the terms:
(-6x + x2)(x2 + -9x + 18) = 0

Reorder the terms:
(-6x + x2)(18 + -9x + x2) = 0

Multiply (-6x + x2) * (18 + -9x + x2)
(-6x * (18 + -9x + x2) + x2(18 + -9x + x2)) = 0
((18 * -6x + -9x * -6x + x2 * -6x) + x2(18 + -9x + x2)) = 0
((-108x + 54x2 + -6x3) + x2(18 + -9x + x2)) = 0
(-108x + 54x2 + -6x3 + (18 * x2 + -9x * x2 + x2 * x2)) = 0
(-108x + 54x2 + -6x3 + (18x2 + -9x3 + x4)) = 0

Reorder the terms:
(-108x + 54x2 + 18x2 + -6x3 + -9x3 + x4) = 0

Combine like terms: 54x2 + 18x2 = 72x2
(-108x + 72x2 + -6x3 + -9x3 + x4) = 0

Combine like terms: -6x3 + -9x3 = -15x3
(-108x + 72x2 + -15x3 + x4) = 0

Solving
-108x + 72x2 + -15x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-108 + 72x + -15x2 + 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 '(-108 + 72x + -15x2 + x3)' equal to zero and attempt to solve:

Simplifying
-108 + 72x + -15x2 + x3 = 0

Solving
-108 + 72x + -15x2 + 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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