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

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

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

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

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

Multiply (6 + 5w) * (-6 + 5w)
(6(-6 + 5w) + 5w * (-6 + 5w)) = 0
((-6 * 6 + 5w * 6) + 5w * (-6 + 5w)) = 0
((-36 + 30w) + 5w * (-6 + 5w)) = 0
(-36 + 30w + (-6 * 5w + 5w * 5w)) = 0
(-36 + 30w + (-30w + 25w2)) = 0

Combine like terms: 30w + -30w = 0
(-36 + 0 + 25w2) = 0
(-36 + 25w2) = 0

Solving
-36 + 25w2 = 0

Solving for variable 'w'.

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

Add '36' to each side of the equation.
-36 + 36 + 25w2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25w2 = 0 + 36
25w2 = 0 + 36

Combine like terms: 0 + 36 = 36
25w2 = 36

Divide each side by '25'.
w2 = 1.44

Simplifying
w2 = 1.44

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