(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}