(4w+5)(4w-5)=

Solution for (4w+5)(4w-5)= equation:

Simplifying
(4w + 5)(4w + -5) = 0

Reorder the terms:
(5 + 4w)(4w + -5) = 0

Reorder the terms:
(5 + 4w)(-5 + 4w) = 0

Multiply (5 + 4w) * (-5 + 4w)
(5(-5 + 4w) + 4w * (-5 + 4w)) = 0
((-5 * 5 + 4w * 5) + 4w * (-5 + 4w)) = 0
((-25 + 20w) + 4w * (-5 + 4w)) = 0
(-25 + 20w + (-5 * 4w + 4w * 4w)) = 0
(-25 + 20w + (-20w + 16w2)) = 0

Combine like terms: 20w + -20w = 0
(-25 + 0 + 16w2) = 0
(-25 + 16w2) = 0

Solving
-25 + 16w2 = 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 + 16w2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 16w2 = 0 + 25
16w2 = 0 + 25

Combine like terms: 0 + 25 = 25
16w2 = 25

Divide each side by '16'.
w2 = 1.5625

Simplifying
w2 = 1.5625

Take the square root of each side:
w = {-1.25, 1.25}