(t-6)(t+6)=45

Solution for (t-6)(t+6)=45 equation:

Simplifying
(t + -6)(t + 6) = 45

Reorder the terms:
(-6 + t)(t + 6) = 45

Reorder the terms:
(-6 + t)(6 + t) = 45

Multiply (-6 + t) * (6 + t)
(-6(6 + t) + t(6 + t)) = 45
((6 * -6 + t * -6) + t(6 + t)) = 45
((-36 + -6t) + t(6 + t)) = 45
(-36 + -6t + (6 * t + t * t)) = 45
(-36 + -6t + (6t + t2)) = 45

Combine like terms: -6t + 6t = 0
(-36 + 0 + t2) = 45
(-36 + t2) = 45

Solving
-36 + t2 = 45

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 + t2 = 45 + 36

Combine like terms: -36 + 36 = 0
0 + t2 = 45 + 36
t2 = 45 + 36

Combine like terms: 45 + 36 = 81
t2 = 81

Simplifying
t2 = 81

Take the square root of each side:
t = {-9, 9}