2x^2-11-40=0

Solution for 2x^2-11-40=0 equation:

Simplifying
2x2 + -11 + -40 = 0

Reorder the terms:
-11 + -40 + 2x2 = 0

Combine like terms: -11 + -40 = -51
-51 + 2x2 = 0

Solving
-51 + 2x2 = 0

Solving for variable 'x'.

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

Add '51' to each side of the equation.
-51 + 51 + 2x2 = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 2x2 = 0 + 51
2x2 = 0 + 51

Combine like terms: 0 + 51 = 51
2x2 = 51

Divide each side by '2'.
x2 = 25.5

Simplifying
x2 = 25.5

Take the square root of each side:
x = {-5.049752469, 5.049752469}