(s+3t)(s-3t)=

Solution for (s+3t)(s-3t)= equation:

Simplifying
(s + 3t)(s + -3t) = 0

Multiply (s + 3t) * (s + -3t)
(s(s + -3t) + 3t * (s + -3t)) = 0
((s * s + -3t * s) + 3t * (s + -3t)) = 0

Reorder the terms:
((-3st + s2) + 3t * (s + -3t)) = 0
((-3st + s2) + 3t * (s + -3t)) = 0
(-3st + s2 + (s * 3t + -3t * 3t)) = 0
(-3st + s2 + (3st + -9t2)) = 0

Reorder the terms:
(-3st + 3st + s2 + -9t2) = 0

Combine like terms: -3st + 3st = 0
(0 + s2 + -9t2) = 0
(s2 + -9t2) = 0

Solving
s2 + -9t2 = 0

Solving for variable 's'.

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

Add '9t2' to each side of the equation.
s2 + -9t2 + 9t2 = 0 + 9t2

Combine like terms: -9t2 + 9t2 = 0
s2 + 0 = 0 + 9t2
s2 = 0 + 9t2
Remove the zero:
s2 = 9t2

Simplifying
s2 = 9t2

Take the square root of each side:
s = {-3t, 3t}