(5s+6)(5s-6)=

Solution for (5s+6)(5s-6)= equation:

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

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

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

Multiply (6 + 5s) * (-6 + 5s)
(6(-6 + 5s) + 5s * (-6 + 5s)) = 0
((-6 * 6 + 5s * 6) + 5s * (-6 + 5s)) = 0
((-36 + 30s) + 5s * (-6 + 5s)) = 0
(-36 + 30s + (-6 * 5s + 5s * 5s)) = 0
(-36 + 30s + (-30s + 25s2)) = 0

Combine like terms: 30s + -30s = 0
(-36 + 0 + 25s2) = 0
(-36 + 25s2) = 0

Solving
-36 + 25s2 = 0

Solving for variable 's'.

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

Add '36' to each side of the equation.
-36 + 36 + 25s2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25s2 = 0 + 36
25s2 = 0 + 36

Combine like terms: 0 + 36 = 36
25s2 = 36

Divide each side by '25'.
s2 = 1.44

Simplifying
s2 = 1.44

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