(2t-9)(2t+9)=

Solution for (2t-9)(2t+9)= equation:

Simplifying
(2t + -9)(2t + 9) = 0

Reorder the terms:
(-9 + 2t)(2t + 9) = 0

Reorder the terms:
(-9 + 2t)(9 + 2t) = 0

Multiply (-9 + 2t) * (9 + 2t)
(-9(9 + 2t) + 2t * (9 + 2t)) = 0
((9 * -9 + 2t * -9) + 2t * (9 + 2t)) = 0
((-81 + -18t) + 2t * (9 + 2t)) = 0
(-81 + -18t + (9 * 2t + 2t * 2t)) = 0
(-81 + -18t + (18t + 4t2)) = 0

Combine like terms: -18t + 18t = 0
(-81 + 0 + 4t2) = 0
(-81 + 4t2) = 0

Solving
-81 + 4t2 = 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 + 4t2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 4t2 = 0 + 81
4t2 = 0 + 81

Combine like terms: 0 + 81 = 81
4t2 = 81

Divide each side by '4'.
t2 = 20.25

Simplifying
t2 = 20.25

Take the square root of each side:
t = {-4.5, 4.5}