36=2x^2-3

Solution for 36=2x^2-3 equation:

Simplifying
36 = 2x2 + -3

Reorder the terms:
36 = -3 + 2x2

Solving
36 = -3 + 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.
36 + -2x2 = -3 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
36 + -2x2 = -3 + 0
36 + -2x2 = -3

Add '-36' to each side of the equation.
36 + -36 + -2x2 = -3 + -36

Combine like terms: 36 + -36 = 0
0 + -2x2 = -3 + -36
-2x2 = -3 + -36

Combine like terms: -3 + -36 = -39
-2x2 = -39

Divide each side by '-2'.
x2 = 19.5

Simplifying
x2 = 19.5

Take the square root of each side:
x = {-4.415880433, 4.415880433}