(6t-9)(6t+9)=

Solution for (6t-9)(6t+9)= equation:

Simplifying
(6t + -9)(6t + 9) = 0

Reorder the terms:
(-9 + 6t)(6t + 9) = 0

Reorder the terms:
(-9 + 6t)(9 + 6t) = 0

Multiply (-9 + 6t) * (9 + 6t)
(-9(9 + 6t) + 6t * (9 + 6t)) = 0
((9 * -9 + 6t * -9) + 6t * (9 + 6t)) = 0
((-81 + -54t) + 6t * (9 + 6t)) = 0
(-81 + -54t + (9 * 6t + 6t * 6t)) = 0
(-81 + -54t + (54t + 36t2)) = 0

Combine like terms: -54t + 54t = 0
(-81 + 0 + 36t2) = 0
(-81 + 36t2) = 0

Solving
-81 + 36t2 = 0

Solving for variable 't'.

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

Add '81' to each side of the equation.
-81 + 81 + 36t2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 36t2 = 0 + 81
36t2 = 0 + 81

Combine like terms: 0 + 81 = 81
36t2 = 81

Divide each side by '36'.
t2 = 2.25

Simplifying
t2 = 2.25

Take the square root of each side:
t = {-1.5, 1.5}