(m-1)(m+1)=5

Solution for (m-1)(m+1)=5 equation:

Simplifying
(m + -1)(m + 1) = 5

Reorder the terms:
(-1 + m)(m + 1) = 5

Reorder the terms:
(-1 + m)(1 + m) = 5

Multiply (-1 + m) * (1 + m)
(-1(1 + m) + m(1 + m)) = 5
((1 * -1 + m * -1) + m(1 + m)) = 5
((-1 + -1m) + m(1 + m)) = 5
(-1 + -1m + (1 * m + m * m)) = 5
(-1 + -1m + (1m + m2)) = 5

Combine like terms: -1m + 1m = 0
(-1 + 0 + m2) = 5
(-1 + m2) = 5

Solving
-1 + m2 = 5

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + m2 = 5 + 1

Combine like terms: -1 + 1 = 0
0 + m2 = 5 + 1
m2 = 5 + 1

Combine like terms: 5 + 1 = 6
m2 = 6

Simplifying
m2 = 6

Take the square root of each side:
m = {-2.449489743, 2.449489743}