1=x^2-6

Solution for 1=x^2-6 equation:

Simplifying
1 = x2 + -6

Reorder the terms:
1 = -6 + x2

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

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

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

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

Combine like terms: -6 + -1 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}