(4w+6)(4w-6)=

Solution for (4w+6)(4w-6)= equation:

Simplifying
(4w + 6)(4w + -6) = 0

Reorder the terms:
(6 + 4w)(4w + -6) = 0

Reorder the terms:
(6 + 4w)(-6 + 4w) = 0

Multiply (6 + 4w) * (-6 + 4w)
(6(-6 + 4w) + 4w * (-6 + 4w)) = 0
((-6 * 6 + 4w * 6) + 4w * (-6 + 4w)) = 0
((-36 + 24w) + 4w * (-6 + 4w)) = 0
(-36 + 24w + (-6 * 4w + 4w * 4w)) = 0
(-36 + 24w + (-24w + 16w2)) = 0

Combine like terms: 24w + -24w = 0
(-36 + 0 + 16w2) = 0
(-36 + 16w2) = 0

Solving
-36 + 16w2 = 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 + 16w2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16w2 = 0 + 36
16w2 = 0 + 36

Combine like terms: 0 + 36 = 36
16w2 = 36

Divide each side by '16'.
w2 = 2.25

Simplifying
w2 = 2.25

Take the square root of each side:
w = {-1.5, 1.5}