4=2x^2-3

Solution for 4=2x^2-3 equation:

Simplifying
4 = 2x2 + -3

Reorder the terms:
4 = -3 + 2x2

Solving
4 = -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.
4 + -2x2 = -3 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -2x2 = -3 + 0
4 + -2x2 = -3

Add '-4' to each side of the equation.
4 + -4 + -2x2 = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -2x2 = -3 + -4
-2x2 = -3 + -4

Combine like terms: -3 + -4 = -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}