2=2x^2-5

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

Simplifying
2 = 2x2 + -5

Reorder the terms:
2 = -5 + 2x2

Solving
2 = -5 + 2x2

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -5 + -2 = -7
-2x2 = -7

Divide each side by '-2'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}