(w-7)(w+7)=

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

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

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

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

Multiply (-7 + w) * (7 + w)
(-7(7 + w) + w(7 + w)) = 0
((7 * -7 + w * -7) + w(7 + w)) = 0
((-49 + -7w) + w(7 + w)) = 0
(-49 + -7w + (7 * w + w * w)) = 0
(-49 + -7w + (7w + w2)) = 0

Combine like terms: -7w + 7w = 0
(-49 + 0 + w2) = 0
(-49 + w2) = 0

Solving
-49 + w2 = 0

Solving for variable 'w'.

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

Add '49' to each side of the equation.
-49 + 49 + w2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + w2 = 0 + 49
w2 = 0 + 49

Combine like terms: 0 + 49 = 49
w2 = 49

Simplifying
w2 = 49

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