45=2x^2-5

Solution for 45=2x^2-5 equation:

Simplifying
45 = 2x2 + -5

Reorder the terms:
45 = -5 + 2x2

Solving
45 = -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.
45 + -2x2 = -5 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
45 + -2x2 = -5 + 0
45 + -2x2 = -5

Add '-45' to each side of the equation.
45 + -45 + -2x2 = -5 + -45

Combine like terms: 45 + -45 = 0
0 + -2x2 = -5 + -45
-2x2 = -5 + -45

Combine like terms: -5 + -45 = -50
-2x2 = -50

Divide each side by '-2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}