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

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

Simplifying
(x2 + -9)(-18) + -1(18x)(2x2 + -18)(2x) = 0

Reorder the terms:
(-9 + x2)(-18) + -1(18x)(2x2 + -18)(2x) = 0

Reorder the terms for easier multiplication:
-18(-9 + x2) + -1(18x)(2x2 + -18)(2x) = 0
(-9 * -18 + x2 * -18) + -1(18x)(2x2 + -18)(2x) = 0
(162 + -18x2) + -1(18x)(2x2 + -18)(2x) = 0

Remove parenthesis around (18x)
162 + -18x2 + -1 * 18x(2x2 + -18)(2x) = 0

Reorder the terms:
162 + -18x2 + -1 * 18x(-18 + 2x2)(2x) = 0

Remove parenthesis around (2x)
162 + -18x2 + -1 * 18x(-18 + 2x2) * 2x = 0

Reorder the terms for easier multiplication:
162 + -18x2 + -1 * 18 * 2x * x(-18 + 2x2) = 0

Multiply -1 * 18
162 + -18x2 + -18 * 2x * x(-18 + 2x2) = 0

Multiply -18 * 2
162 + -18x2 + -36x * x(-18 + 2x2) = 0

Multiply x * x
162 + -18x2 + -36x2(-18 + 2x2) = 0
162 + -18x2 + (-18 * -36x2 + 2x2 * -36x2) = 0
162 + -18x2 + (648x2 + -72x4) = 0

Combine like terms: -18x2 + 648x2 = 630x2
162 + 630x2 + -72x4 = 0

Solving
162 + 630x2 + -72x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18'.
18(9 + 35x2 + -4x4) = 0

Factor a trinomial.
18((9 + -1x2)(1 + 4x2)) = 0

Factor a difference between two squares.
18(((3 + x)(3 + -1x))(1 + 4x2)) = 0

Ignore the factor 18.
Subproblem 1
Set the factor '(1 + 4x2)' equal to zero and attempt to solve:

Simplifying
1 + 4x2 = 0

Solving
1 + 4x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x2 = 0 + -1
4x2 = 0 + -1

Combine like terms: 0 + -1 = -1
4x2 = -1

Divide each side by '4'.
x2 = -0.25

Simplifying
x2 = -0.25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3, 3}