45=x^2-4

Solution for 45=x^2-4 equation:

Simplifying
45 = x2 + -4

Reorder the terms:
45 = -4 + x2

Solving
45 = -4 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
45 + -1x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -1x2 = -4 + 0
45 + -1x2 = -4

Add '-45' to each side of the equation.
45 + -45 + -1x2 = -4 + -45

Combine like terms: 45 + -45 = 0
0 + -1x2 = -4 + -45
-1x2 = -4 + -45

Combine like terms: -4 + -45 = -49
-1x2 = -49

Divide each side by '-1'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}