(c-7)(c+7)=0

Solution for (c-7)(c+7)=0 equation:

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

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

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

Multiply (-7 + c) * (7 + c)
(-7(7 + c) + c(7 + c)) = 0
((7 * -7 + c * -7) + c(7 + c)) = 0
((-49 + -7c) + c(7 + c)) = 0
(-49 + -7c + (7 * c + c * c)) = 0
(-49 + -7c + (7c + c2)) = 0

Combine like terms: -7c + 7c = 0
(-49 + 0 + c2) = 0
(-49 + c2) = 0

Solving
-49 + c2 = 0

Solving for variable 'c'.

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

Add '49' to each side of the equation.
-49 + 49 + c2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + c2 = 0 + 49
c2 = 0 + 49

Combine like terms: 0 + 49 = 49
c2 = 49

Simplifying
c2 = 49

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