2x^2-5=51

Solution for 2x^2-5=51 equation:

Simplifying
2x2 + -5 = 51

Reorder the terms:
-5 + 2x2 = 51

Solving
-5 + 2x2 = 51

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x2 = 51 + 5

Combine like terms: -5 + 5 = 0
0 + 2x2 = 51 + 5
2x2 = 51 + 5

Combine like terms: 51 + 5 = 56
2x2 = 56

Divide each side by '2'.
x2 = 28

Simplifying
x2 = 28

Take the square root of each side:
x = {-5.291502622, 5.291502622}