11=2x^2+3

Solution for 11=2x^2+3 equation:

Simplifying
11 = 2x2 + 3

Reorder the terms:
11 = 3 + 2x2

Solving
11 = 3 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
11 + -2x2 = 3 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
11 + -2x2 = 3 + 0
11 + -2x2 = 3

Add '-11' to each side of the equation.
11 + -11 + -2x2 = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -2x2 = 3 + -11
-2x2 = 3 + -11

Combine like terms: 3 + -11 = -8
-2x2 = -8

Divide each side by '-2'.
x2 = 4

Simplifying
x2 = 4

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