(2w+5)(2w+-5)=0

Solution for (2w+5)(2w+-5)=0 equation:

Simplifying
(2w + 5)(2w + -5) = 0

Reorder the terms:
(5 + 2w)(2w + -5) = 0

Reorder the terms:
(5 + 2w)(-5 + 2w) = 0

Multiply (5 + 2w) * (-5 + 2w)
(5(-5 + 2w) + 2w * (-5 + 2w)) = 0
((-5 * 5 + 2w * 5) + 2w * (-5 + 2w)) = 0
((-25 + 10w) + 2w * (-5 + 2w)) = 0
(-25 + 10w + (-5 * 2w + 2w * 2w)) = 0
(-25 + 10w + (-10w + 4w2)) = 0

Combine like terms: 10w + -10w = 0
(-25 + 0 + 4w2) = 0
(-25 + 4w2) = 0

Solving
-25 + 4w2 = 0

Solving for variable 'w'.

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

Add '25' to each side of the equation.
-25 + 25 + 4w2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4w2 = 0 + 25
4w2 = 0 + 25

Combine like terms: 0 + 25 = 25
4w2 = 25

Divide each side by '4'.
w2 = 6.25

Simplifying
w2 = 6.25

Take the square root of each side:
w = {-2.5, 2.5}