45=x^2-6

Solution for 45=x^2-6 equation:

Simplifying
45 = x2 + -6

Reorder the terms:
45 = -6 + x2

Solving
45 = -6 + 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 = -6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -1x2 = -6 + 0
45 + -1x2 = -6

Add '-45' to each side of the equation.
45 + -45 + -1x2 = -6 + -45

Combine like terms: 45 + -45 = 0
0 + -1x2 = -6 + -45
-1x2 = -6 + -45

Combine like terms: -6 + -45 = -51
-1x2 = -51

Divide each side by '-1'.
x2 = 51

Simplifying
x2 = 51

Take the square root of each side:
x = {-7.141428429, 7.141428429}