(6-t)(6+t)=0

Solution for (6-t)(6+t)=0 equation:

Simplifying
(6 + -1t)(6 + t) = 0

Multiply (6 + -1t) * (6 + t)
(6(6 + t) + -1t * (6 + t)) = 0
((6 * 6 + t * 6) + -1t * (6 + t)) = 0
((36 + 6t) + -1t * (6 + t)) = 0
(36 + 6t + (6 * -1t + t * -1t)) = 0
(36 + 6t + (-6t + -1t2)) = 0

Combine like terms: 6t + -6t = 0
(36 + 0 + -1t2) = 0
(36 + -1t2) = 0

Solving
36 + -1t2 = 0

Solving for variable 't'.

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

Add '-36' to each side of the equation.
36 + -36 + -1t2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1t2 = 0 + -36
-1t2 = 0 + -36

Combine like terms: 0 + -36 = -36
-1t2 = -36

Divide each side by '-1'.
t2 = 36

Simplifying
t2 = 36

Take the square root of each side:
t = {-6, 6}