(4w+3)(4w-3)=

Solution for (4w+3)(4w-3)= equation:

Simplifying
(4w + 3)(4w + -3) = 0

Reorder the terms:
(3 + 4w)(4w + -3) = 0

Reorder the terms:
(3 + 4w)(-3 + 4w) = 0

Multiply (3 + 4w) * (-3 + 4w)
(3(-3 + 4w) + 4w * (-3 + 4w)) = 0
((-3 * 3 + 4w * 3) + 4w * (-3 + 4w)) = 0
((-9 + 12w) + 4w * (-3 + 4w)) = 0
(-9 + 12w + (-3 * 4w + 4w * 4w)) = 0
(-9 + 12w + (-12w + 16w2)) = 0

Combine like terms: 12w + -12w = 0
(-9 + 0 + 16w2) = 0
(-9 + 16w2) = 0

Solving
-9 + 16w2 = 0

Solving for variable 'w'.

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

Add '9' to each side of the equation.
-9 + 9 + 16w2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 16w2 = 0 + 9
16w2 = 0 + 9

Combine like terms: 0 + 9 = 9
16w2 = 9

Divide each side by '16'.
w2 = 0.5625

Simplifying
w2 = 0.5625

Take the square root of each side:
w = {-0.75, 0.75}