3=x^2-6

Solution for 3=x^2-6 equation:

Simplifying
3 = x2 + -6

Reorder the terms:
3 = -6 + x2

Solving
3 = -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.
3 + -1x2 = -6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + -1x2 = -6 + 0
3 + -1x2 = -6

Add '-3' to each side of the equation.
3 + -3 + -1x2 = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -1x2 = -6 + -3
-1x2 = -6 + -3

Combine like terms: -6 + -3 = -9
-1x2 = -9

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}