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Simplifying
(4w + 5p)(4w + -5p) = 0
Reorder the terms:
(5p + 4w)(4w + -5p) = 0
Reorder the terms:
(5p + 4w)(-5p + 4w) = 0
Multiply (5p + 4w) * (-5p + 4w)
(5p * (-5p + 4w) + 4w * (-5p + 4w)) = 0
((-5p * 5p + 4w * 5p) + 4w * (-5p + 4w)) = 0
Reorder the terms:
((20pw + -25p2) + 4w * (-5p + 4w)) = 0
((20pw + -25p2) + 4w * (-5p + 4w)) = 0
(20pw + -25p2 + (-5p * 4w + 4w * 4w)) = 0
(20pw + -25p2 + (-20pw + 16w2)) = 0
Reorder the terms:
(20pw + -20pw + -25p2 + 16w2) = 0
Combine like terms: 20pw + -20pw = 0
(0 + -25p2 + 16w2) = 0
(-25p2 + 16w2) = 0
Solving
-25p2 + 16w2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-16w2' to each side of the equation.
-25p2 + 16w2 + -16w2 = 0 + -16w2
Combine like terms: 16w2 + -16w2 = 0
-25p2 + 0 = 0 + -16w2
-25p2 = 0 + -16w2
Remove the zero:
-25p2 = -16w2
Divide each side by '-25'.
p2 = 0.64w2
Simplifying
p2 = 0.64w2
Take the square root of each side:
p = {-0.8w, 0.8w}
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