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

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

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

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

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

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

Reorder the terms:
((20ps + -16p2) + 5s * (-4p + 5s)) = 0
((20ps + -16p2) + 5s * (-4p + 5s)) = 0
(20ps + -16p2 + (-4p * 5s + 5s * 5s)) = 0
(20ps + -16p2 + (-20ps + 25s2)) = 0

Reorder the terms:
(20ps + -20ps + -16p2 + 25s2) = 0

Combine like terms: 20ps + -20ps = 0
(0 + -16p2 + 25s2) = 0
(-16p2 + 25s2) = 0

Solving
-16p2 + 25s2 = 0

Solving for variable 'p'.

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

Add '-25s2' to each side of the equation.
-16p2 + 25s2 + -25s2 = 0 + -25s2

Combine like terms: 25s2 + -25s2 = 0
-16p2 + 0 = 0 + -25s2
-16p2 = 0 + -25s2
Remove the zero:
-16p2 = -25s2

Divide each side by '-16'.
p2 = 1.5625s2

Simplifying
p2 = 1.5625s2

Take the square root of each side:
p = {-1.25s, 1.25s}