(r-7)(r+7)=

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

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

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

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

Multiply (-7 + r) * (7 + r)
(-7(7 + r) + r(7 + r)) = 0
((7 * -7 + r * -7) + r(7 + r)) = 0
((-49 + -7r) + r(7 + r)) = 0
(-49 + -7r + (7 * r + r * r)) = 0
(-49 + -7r + (7r + r2)) = 0

Combine like terms: -7r + 7r = 0
(-49 + 0 + r2) = 0
(-49 + r2) = 0

Solving
-49 + r2 = 0

Solving for variable 'r'.

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

Add '49' to each side of the equation.
-49 + 49 + r2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + r2 = 0 + 49
r2 = 0 + 49

Combine like terms: 0 + 49 = 49
r2 = 49

Simplifying
r2 = 49

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