(m+7)(m-7)=

Solution for (m+7)(m-7)= equation:

Simplifying
(m + 7)(m + -7) = 0

Reorder the terms:
(7 + m)(m + -7) = 0

Reorder the terms:
(7 + m)(-7 + m) = 0

Multiply (7 + m) * (-7 + m)
(7(-7 + m) + m(-7 + m)) = 0
((-7 * 7 + m * 7) + m(-7 + m)) = 0
((-49 + 7m) + m(-7 + m)) = 0
(-49 + 7m + (-7 * m + m * m)) = 0
(-49 + 7m + (-7m + m2)) = 0

Combine like terms: 7m + -7m = 0
(-49 + 0 + m2) = 0
(-49 + m2) = 0

Solving
-49 + m2 = 0

Solving for variable 'm'.

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

Add '49' to each side of the equation.
-49 + 49 + m2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + m2 = 0 + 49
m2 = 0 + 49

Combine like terms: 0 + 49 = 49
m2 = 49

Simplifying
m2 = 49

Take the square root of each side:
m = {-7, 7}