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

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

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

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

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

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

Reorder the terms:
((12pw + -16p2) + 3w * (-4p + 3w)) = 0
((12pw + -16p2) + 3w * (-4p + 3w)) = 0
(12pw + -16p2 + (-4p * 3w + 3w * 3w)) = 0
(12pw + -16p2 + (-12pw + 9w2)) = 0

Reorder the terms:
(12pw + -12pw + -16p2 + 9w2) = 0

Combine like terms: 12pw + -12pw = 0
(0 + -16p2 + 9w2) = 0
(-16p2 + 9w2) = 0

Solving
-16p2 + 9w2 = 0

Solving for variable 'p'.

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

Add '-9w2' to each side of the equation.
-16p2 + 9w2 + -9w2 = 0 + -9w2

Combine like terms: 9w2 + -9w2 = 0
-16p2 + 0 = 0 + -9w2
-16p2 = 0 + -9w2
Remove the zero:
-16p2 = -9w2

Divide each side by '-16'.
p2 = 0.5625w2

Simplifying
p2 = 0.5625w2

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