(x^2-1)2-9(x^2-1)+20=0

Solution for (x^2-1)2-9(x^2-1)+20=0 equation:

Simplifying
(x2 + -1) * 2 + -9(x2 + -1) + 20 = 0

Reorder the terms:
(-1 + x2) * 2 + -9(x2 + -1) + 20 = 0

Reorder the terms for easier multiplication:
2(-1 + x2) + -9(x2 + -1) + 20 = 0
(-1 * 2 + x2 * 2) + -9(x2 + -1) + 20 = 0
(-2 + 2x2) + -9(x2 + -1) + 20 = 0

Reorder the terms:
-2 + 2x2 + -9(-1 + x2) + 20 = 0
-2 + 2x2 + (-1 * -9 + x2 * -9) + 20 = 0
-2 + 2x2 + (9 + -9x2) + 20 = 0

Reorder the terms:
-2 + 9 + 20 + 2x2 + -9x2 = 0

Combine like terms: -2 + 9 = 7
7 + 20 + 2x2 + -9x2 = 0

Combine like terms: 7 + 20 = 27
27 + 2x2 + -9x2 = 0

Combine like terms: 2x2 + -9x2 = -7x2
27 + -7x2 = 0

Solving
27 + -7x2 = 0

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -7x2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -7x2 = 0 + -27
-7x2 = 0 + -27

Combine like terms: 0 + -27 = -27
-7x2 = -27

Divide each side by '-7'.
x2 = 3.857142857

Simplifying
x2 = 3.857142857

Take the square root of each side:
x = {-1.963961012, 1.963961012}