(5-c)(5+c)=0

Solution for (5-c)(5+c)=0 equation:

Simplifying
(5 + -1c)(5 + c) = 0

Multiply (5 + -1c) * (5 + c)
(5(5 + c) + -1c * (5 + c)) = 0
((5 * 5 + c * 5) + -1c * (5 + c)) = 0
((25 + 5c) + -1c * (5 + c)) = 0
(25 + 5c + (5 * -1c + c * -1c)) = 0
(25 + 5c + (-5c + -1c2)) = 0

Combine like terms: 5c + -5c = 0
(25 + 0 + -1c2) = 0
(25 + -1c2) = 0

Solving
25 + -1c2 = 0

Solving for variable 'c'.

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

Add '-25' to each side of the equation.
25 + -25 + -1c2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1c2 = 0 + -25
-1c2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1c2 = -25

Divide each side by '-1'.
c2 = 25

Simplifying
c2 = 25

Take the square root of each side:
c = {-5, 5}