32=x^2-1

Solution for 32=x^2-1 equation:

Simplifying
32 = x2 + -1

Reorder the terms:
32 = -1 + x2

Solving
32 = -1 + 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.
32 + -1x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
32 + -1x2 = -1 + 0
32 + -1x2 = -1

Add '-32' to each side of the equation.
32 + -32 + -1x2 = -1 + -32

Combine like terms: 32 + -32 = 0
0 + -1x2 = -1 + -32
-1x2 = -1 + -32

Combine like terms: -1 + -32 = -33
-1x2 = -33

Divide each side by '-1'.
x2 = 33

Simplifying
x2 = 33

Take the square root of each side:
x = {-5.744562647, 5.744562647}