(x^2)-20(x^2-2)+36=0

Solution for (x^2)-20(x^2-2)+36=0 equation:

Simplifying
(x2) + -20(x2 + -2) + 36 = 0
x2 + -20(x2 + -2) + 36 = 0

Reorder the terms:
x2 + -20(-2 + x2) + 36 = 0
x2 + (-2 * -20 + x2 * -20) + 36 = 0
x2 + (40 + -20x2) + 36 = 0

Reorder the terms:
40 + 36 + x2 + -20x2 = 0

Combine like terms: 40 + 36 = 76
76 + x2 + -20x2 = 0

Combine like terms: x2 + -20x2 = -19x2
76 + -19x2 = 0

Solving
76 + -19x2 = 0

Solving for variable 'x'.

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

Add '-76' to each side of the equation.
76 + -76 + -19x2 = 0 + -76

Combine like terms: 76 + -76 = 0
0 + -19x2 = 0 + -76
-19x2 = 0 + -76

Combine like terms: 0 + -76 = -76
-19x2 = -76

Divide each side by '-19'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}