(s+5t)(s-5t)=

Solution for (s+5t)(s-5t)= equation:

Simplifying
(s + 5t)(s + -5t) = 0

Multiply (s + 5t) * (s + -5t)
(s(s + -5t) + 5t * (s + -5t)) = 0
((s * s + -5t * s) + 5t * (s + -5t)) = 0

Reorder the terms:
((-5st + s2) + 5t * (s + -5t)) = 0
((-5st + s2) + 5t * (s + -5t)) = 0
(-5st + s2 + (s * 5t + -5t * 5t)) = 0
(-5st + s2 + (5st + -25t2)) = 0

Reorder the terms:
(-5st + 5st + s2 + -25t2) = 0

Combine like terms: -5st + 5st = 0
(0 + s2 + -25t2) = 0
(s2 + -25t2) = 0

Solving
s2 + -25t2 = 0

Solving for variable 's'.

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

Add '25t2' to each side of the equation.
s2 + -25t2 + 25t2 = 0 + 25t2

Combine like terms: -25t2 + 25t2 = 0
s2 + 0 = 0 + 25t2
s2 = 0 + 25t2
Remove the zero:
s2 = 25t2

Simplifying
s2 = 25t2

Take the square root of each side:
s = {-5t, 5t}