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

Solution for (3-t)(t+3)=0 equation:

Simplifying
(3 + -1t)(t + 3) = 0

Reorder the terms:
(3 + -1t)(3 + t) = 0

Multiply (3 + -1t) * (3 + t)
(3(3 + t) + -1t * (3 + t)) = 0
((3 * 3 + t * 3) + -1t * (3 + t)) = 0
((9 + 3t) + -1t * (3 + t)) = 0
(9 + 3t + (3 * -1t + t * -1t)) = 0
(9 + 3t + (-3t + -1t2)) = 0

Combine like terms: 3t + -3t = 0
(9 + 0 + -1t2) = 0
(9 + -1t2) = 0

Solving
9 + -1t2 = 0

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + -1t2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1t2 = 0 + -9
-1t2 = 0 + -9

Combine like terms: 0 + -9 = -9
-1t2 = -9

Divide each side by '-1'.
t2 = 9

Simplifying
t2 = 9

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