(3w-5p)(3w+4p)=

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Solution for (3w-5p)(3w+4p)= equation: 


Simplifying
(3w + -5p)(3w + 4p) = 0

Reorder the terms:
(-5p + 3w)(3w + 4p) = 0

Reorder the terms:
(-5p + 3w)(4p + 3w) = 0

Multiply (-5p + 3w) * (4p + 3w)
(-5p * (4p + 3w) + 3w * (4p + 3w)) = 0
((4p * -5p + 3w * -5p) + 3w * (4p + 3w)) = 0

Reorder the terms:
((-15pw + -20p2) + 3w * (4p + 3w)) = 0
((-15pw + -20p2) + 3w * (4p + 3w)) = 0
(-15pw + -20p2 + (4p * 3w + 3w * 3w)) = 0
(-15pw + -20p2 + (12pw + 9w2)) = 0

Reorder the terms:
(-15pw + 12pw + -20p2 + 9w2) = 0

Combine like terms: -15pw + 12pw = -3pw
(-3pw + -20p2 + 9w2) = 0

Solving
-3pw + -20p2 + 9w2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4p + -3w)(5p + -3w) = 0


Subproblem 1
Set the factor '(-4p + -3w)' equal to zero and attempt to solve:

Simplifying
-4p + -3w = 0

Solving
-4p + -3w = 0

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

Add '3w' to each side of the equation.
-4p + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
-4p + 0 = 0 + 3w
-4p = 0 + 3w
Remove the zero:
-4p = 3w

Divide each side by '-4'.
p = -0.75w

Simplifying
p = -0.75w

Subproblem 2
Set the factor '(5p + -3w)' equal to zero and attempt to solve:

Simplifying
5p + -3w = 0

Solving
5p + -3w = 0

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

Add '3w' to each side of the equation.
5p + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
5p + 0 = 0 + 3w
5p = 0 + 3w
Remove the zero:
5p = 3w

Divide each side by '5'.
p = 0.6w

Simplifying
p = 0.6w
Solution
p = {-0.75w, 0.6w}

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