21=w^2-1

Solution for 21=w^2-1 equation:

Simplifying
21 = w2 + -1

Reorder the terms:
21 = -1 + w2

Solving
21 = -1 + w2

Solving for variable 'w'.

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

Add '-1w2' to each side of the equation.
21 + -1w2 = -1 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
21 + -1w2 = -1 + 0
21 + -1w2 = -1

Add '-21' to each side of the equation.
21 + -21 + -1w2 = -1 + -21

Combine like terms: 21 + -21 = 0
0 + -1w2 = -1 + -21
-1w2 = -1 + -21

Combine like terms: -1 + -21 = -22
-1w2 = -22

Divide each side by '-1'.
w2 = 22

Simplifying
w2 = 22

Take the square root of each side:
w = {-4.69041576, 4.69041576}