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

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


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

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

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

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

Reorder the terms:
((-25pw + -20p2) + 5w * (4p + 5w)) = 0
((-25pw + -20p2) + 5w * (4p + 5w)) = 0
(-25pw + -20p2 + (4p * 5w + 5w * 5w)) = 0
(-25pw + -20p2 + (20pw + 25w2)) = 0

Reorder the terms:
(-25pw + 20pw + -20p2 + 25w2) = 0

Combine like terms: -25pw + 20pw = -5pw
(-5pw + -20p2 + 25w2) = 0

Solving
-5pw + -20p2 + 25w2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1pw + -4p2 + 5w2) = 0

Factor a trinomial.
5((-4p + -5w)(p + -1w)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4p + -5w)' equal to zero and attempt to solve:

Simplifying
-4p + -5w = 0

Solving
-4p + -5w = 0

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

Add '5w' to each side of the equation.
-4p + -5w + 5w = 0 + 5w

Combine like terms: -5w + 5w = 0
-4p + 0 = 0 + 5w
-4p = 0 + 5w
Remove the zero:
-4p = 5w

Divide each side by '-4'.
p = -1.25w

Simplifying
p = -1.25w

Subproblem 2
Set the factor '(p + -1w)' equal to zero and attempt to solve:

Simplifying
p + -1w = 0

Solving
p + -1w = 0

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

Add 'w' to each side of the equation.
p + -1w + w = 0 + w

Combine like terms: -1w + w = 0
p + 0 = 0 + w
p = 0 + w
Remove the zero:
p = w

Simplifying
p = w
Solution
p = {-1.25w, w}

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