(5c+6)(5c-6)=0

Solution for (5c+6)(5c-6)=0 equation:

Simplifying
(5c + 6)(5c + -6) = 0

Reorder the terms:
(6 + 5c)(5c + -6) = 0

Reorder the terms:
(6 + 5c)(-6 + 5c) = 0

Multiply (6 + 5c) * (-6 + 5c)
(6(-6 + 5c) + 5c * (-6 + 5c)) = 0
((-6 * 6 + 5c * 6) + 5c * (-6 + 5c)) = 0
((-36 + 30c) + 5c * (-6 + 5c)) = 0
(-36 + 30c + (-6 * 5c + 5c * 5c)) = 0
(-36 + 30c + (-30c + 25c2)) = 0

Combine like terms: 30c + -30c = 0
(-36 + 0 + 25c2) = 0
(-36 + 25c2) = 0

Solving
-36 + 25c2 = 0

Solving for variable 'c'.

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

Add '36' to each side of the equation.
-36 + 36 + 25c2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25c2 = 0 + 36
25c2 = 0 + 36

Combine like terms: 0 + 36 = 36
25c2 = 36

Divide each side by '25'.
c2 = 1.44

Simplifying
c2 = 1.44

Take the square root of each side:
c = {-1.2, 1.2}