(2t-3)(2t+3)=

Solution for (2t-3)(2t+3)= equation:

Simplifying
(2t + -3)(2t + 3) = 0

Reorder the terms:
(-3 + 2t)(2t + 3) = 0

Reorder the terms:
(-3 + 2t)(3 + 2t) = 0

Multiply (-3 + 2t) * (3 + 2t)
(-3(3 + 2t) + 2t * (3 + 2t)) = 0
((3 * -3 + 2t * -3) + 2t * (3 + 2t)) = 0
((-9 + -6t) + 2t * (3 + 2t)) = 0
(-9 + -6t + (3 * 2t + 2t * 2t)) = 0
(-9 + -6t + (6t + 4t2)) = 0

Combine like terms: -6t + 6t = 0
(-9 + 0 + 4t2) = 0
(-9 + 4t2) = 0

Solving
-9 + 4t2 = 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 + 4t2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4t2 = 0 + 9
4t2 = 0 + 9

Combine like terms: 0 + 9 = 9
4t2 = 9

Divide each side by '4'.
t2 = 2.25

Simplifying
t2 = 2.25

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