x^2-2m+2+2m-3=0

Solution for x^2-2m+2+2m-3=0 equation:

Simplifying
x2 + -2m + 2 + 2m + -3 = 0

Reorder the terms:
2 + -3 + -2m + 2m + x2 = 0

Combine like terms: 2 + -3 = -1
-1 + -2m + 2m + x2 = 0

Combine like terms: -2m + 2m = 0
-1 + 0 + x2 = 0
-1 + x2 = 0

Solving
-1 + x2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x2 = 0 + 1
x2 = 0 + 1

Combine like terms: 0 + 1 = 1
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}