(X^2-81)(x^2+9x)=0

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Solution for (X^2-81)(x^2+9x)=0 equation: 


Simplifying
(X2 + -81)(x2 + 9x) = 0

Reorder the terms:
(-81 + X2)(x2 + 9x) = 0

Reorder the terms:
(-81 + X2)(9x + x2) = 0

Multiply (-81 + X2) * (9x + x2)
(-81(9x + x2) + X2(9x + x2)) = 0
((9x * -81 + x2 * -81) + X2(9x + x2)) = 0
((-729x + -81x2) + X2(9x + x2)) = 0
(-729x + -81x2 + (9x * X2 + x2 * X2)) = 0
(-729x + -81x2 + (9xX2 + x2X2)) = 0

Reorder the terms:
(-729x + 9xX2 + -81x2 + x2X2) = 0
(-729x + 9xX2 + -81x2 + x2X2) = 0

Solving
-729x + 9xX2 + -81x2 + x2X2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-729 + 9X2 + -81x + xX2) = 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 '(-729 + 9X2 + -81x + xX2)' equal to zero and attempt to solve:

Simplifying
-729 + 9X2 + -81x + xX2 = 0

Solving
-729 + 9X2 + -81x + xX2 = 0

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

Add '729' to each side of the equation.
-729 + 9X2 + -81x + 729 + xX2 = 0 + 729

Reorder the terms:
-729 + 729 + 9X2 + -81x + xX2 = 0 + 729

Combine like terms: -729 + 729 = 0
0 + 9X2 + -81x + xX2 = 0 + 729
9X2 + -81x + xX2 = 0 + 729

Combine like terms: 0 + 729 = 729
9X2 + -81x + xX2 = 729

Add '-9X2' to each side of the equation.
9X2 + -81x + -9X2 + xX2 = 729 + -9X2

Reorder the terms:
9X2 + -9X2 + -81x + xX2 = 729 + -9X2

Combine like terms: 9X2 + -9X2 = 0
0 + -81x + xX2 = 729 + -9X2
-81x + xX2 = 729 + -9X2

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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