11=5x^2+6

Solution for 11=5x^2+6 equation:

Simplifying
11 = 5x2 + 6

Reorder the terms:
11 = 6 + 5x2

Solving
11 = 6 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
11 + -5x2 = 6 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
11 + -5x2 = 6 + 0
11 + -5x2 = 6

Add '-11' to each side of the equation.
11 + -11 + -5x2 = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -5x2 = 6 + -11
-5x2 = 6 + -11

Combine like terms: 6 + -11 = -5
-5x2 = -5

Divide each side by '-5'.
x2 = 1

Simplifying
x2 = 1

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