2x^2-22=51

Solution for 2x^2-22=51 equation:

Simplifying
2x2 + -22 = 51

Reorder the terms:
-22 + 2x2 = 51

Solving
-22 + 2x2 = 51

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 2x2 = 51 + 22

Combine like terms: -22 + 22 = 0
0 + 2x2 = 51 + 22
2x2 = 51 + 22

Combine like terms: 51 + 22 = 73
2x2 = 73

Divide each side by '2'.
x2 = 36.5

Simplifying
x2 = 36.5

Take the square root of each side:
x = {-6.041522987, 6.041522987}