(2w+5p)(2w-5p)=

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Solution for (2w+5p)(2w-5p)= equation: 


Simplifying
(2w + 5p)(2w + -5p) = 0

Reorder the terms:
(5p + 2w)(2w + -5p) = 0

Reorder the terms:
(5p + 2w)(-5p + 2w) = 0

Multiply (5p + 2w) * (-5p + 2w)
(5p * (-5p + 2w) + 2w * (-5p + 2w)) = 0
((-5p * 5p + 2w * 5p) + 2w * (-5p + 2w)) = 0

Reorder the terms:
((10pw + -25p2) + 2w * (-5p + 2w)) = 0
((10pw + -25p2) + 2w * (-5p + 2w)) = 0
(10pw + -25p2 + (-5p * 2w + 2w * 2w)) = 0
(10pw + -25p2 + (-10pw + 4w2)) = 0

Reorder the terms:
(10pw + -10pw + -25p2 + 4w2) = 0

Combine like terms: 10pw + -10pw = 0
(0 + -25p2 + 4w2) = 0
(-25p2 + 4w2) = 0

Solving
-25p2 + 4w2 = 0

Solving for variable 'p'.

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

Add '-4w2' to each side of the equation.
-25p2 + 4w2 + -4w2 = 0 + -4w2

Combine like terms: 4w2 + -4w2 = 0
-25p2 + 0 = 0 + -4w2
-25p2 = 0 + -4w2
Remove the zero:
-25p2 = -4w2

Divide each side by '-25'.
p2 = 0.16w2

Simplifying
p2 = 0.16w2

Take the square root of each side:
p = {-0.4w, 0.4w}

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