(x^2-9)-5(x^2-9)=0

Solution for (x^2-9)-5(x^2-9)=0 equation:

Simplifying
(x2 + -9) + -5(x2 + -9) = 0

Reorder the terms:
(-9 + x2) + -5(x2 + -9) = 0

Remove parenthesis around (-9 + x2)
-9 + x2 + -5(x2 + -9) = 0

Reorder the terms:
-9 + x2 + -5(-9 + x2) = 0
-9 + x2 + (-9 * -5 + x2 * -5) = 0
-9 + x2 + (45 + -5x2) = 0

Reorder the terms:
-9 + 45 + x2 + -5x2 = 0

Combine like terms: -9 + 45 = 36
36 + x2 + -5x2 = 0

Combine like terms: x2 + -5x2 = -4x2
36 + -4x2 = 0

Solving
36 + -4x2 = 0

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -4x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -4x2 = 0 + -36
-4x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-4x2 = -36

Divide each side by '-4'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}