2(2x^2+2)+1=9

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

Simplifying
2(2x2 + 2) + 1 = 9

Reorder the terms:
2(2 + 2x2) + 1 = 9
(2 * 2 + 2x2 * 2) + 1 = 9
(4 + 4x2) + 1 = 9

Reorder the terms:
4 + 1 + 4x2 = 9

Combine like terms: 4 + 1 = 5
5 + 4x2 = 9

Solving
5 + 4x2 = 9

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 4x2 = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 4x2 = 9 + -5
4x2 = 9 + -5

Combine like terms: 9 + -5 = 4
4x2 = 4

Divide each side by '4'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}