(2w+15)(2w-15)=0

Solution for (2w+15)(2w-15)=0 equation:

Simplifying
(2w + 15)(2w + -15) = 0

Reorder the terms:
(15 + 2w)(2w + -15) = 0

Reorder the terms:
(15 + 2w)(-15 + 2w) = 0

Multiply (15 + 2w) * (-15 + 2w)
(15(-15 + 2w) + 2w * (-15 + 2w)) = 0
((-15 * 15 + 2w * 15) + 2w * (-15 + 2w)) = 0
((-225 + 30w) + 2w * (-15 + 2w)) = 0
(-225 + 30w + (-15 * 2w + 2w * 2w)) = 0
(-225 + 30w + (-30w + 4w2)) = 0

Combine like terms: 30w + -30w = 0
(-225 + 0 + 4w2) = 0
(-225 + 4w2) = 0

Solving
-225 + 4w2 = 0

Solving for variable 'w'.

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

Add '225' to each side of the equation.
-225 + 225 + 4w2 = 0 + 225

Combine like terms: -225 + 225 = 0
0 + 4w2 = 0 + 225
4w2 = 0 + 225

Combine like terms: 0 + 225 = 225
4w2 = 225

Divide each side by '4'.
w2 = 56.25

Simplifying
w2 = 56.25

Take the square root of each side:
w = {-7.5, 7.5}