2x^2+11=76

Solution for 2x^2+11=76 equation:

Simplifying
2x2 + 11 = 76

Reorder the terms:
11 + 2x2 = 76

Solving
11 + 2x2 = 76

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 2x2 = 76 + -11

Combine like terms: 11 + -11 = 0
0 + 2x2 = 76 + -11
2x2 = 76 + -11

Combine like terms: 76 + -11 = 65
2x2 = 65

Divide each side by '2'.
x2 = 32.5

Simplifying
x2 = 32.5

Take the square root of each side:
x = {-5.700877125, 5.700877125}