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

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

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

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

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

Multiply (3v + 4w) * (-3v + 4w)
(3v * (-3v + 4w) + 4w * (-3v + 4w)) = 0
((-3v * 3v + 4w * 3v) + 4w * (-3v + 4w)) = 0

Reorder the terms:
((12vw + -9v2) + 4w * (-3v + 4w)) = 0
((12vw + -9v2) + 4w * (-3v + 4w)) = 0
(12vw + -9v2 + (-3v * 4w + 4w * 4w)) = 0
(12vw + -9v2 + (-12vw + 16w2)) = 0

Reorder the terms:
(12vw + -12vw + -9v2 + 16w2) = 0

Combine like terms: 12vw + -12vw = 0
(0 + -9v2 + 16w2) = 0
(-9v2 + 16w2) = 0

Solving
-9v2 + 16w2 = 0

Solving for variable 'v'.

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

Add '-16w2' to each side of the equation.
-9v2 + 16w2 + -16w2 = 0 + -16w2

Combine like terms: 16w2 + -16w2 = 0
-9v2 + 0 = 0 + -16w2
-9v2 = 0 + -16w2
Remove the zero:
-9v2 = -16w2

Divide each side by '-9'.
v2 = 1.777777778w2

Simplifying
v2 = 1.777777778w2

Take the square root of each side:
v = {-1.333333333w, 1.333333333w}