X^2(-6x-27)=0

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Solution for X^2(-6x-27)=0 equation: 


Simplifying
X2(-6x + -27) = 0

Reorder the terms:
X2(-27 + -6x) = 0
(-27 * X2 + -6x * X2) = 0
(-27X2 + -6xX2) = 0

Solving
-27X2 + -6xX2 = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), '-3X2'.
-3X2(9 + 2x) = 0

Ignore the factor -3.

Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Add '-2x' to each side of the equation.
2x + -2x = -9 + -2x

Combine like terms: 2x + -2x = 0
0 = -9 + -2x

Simplifying
0 = -9 + -2x

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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