(3+4t)(3-4t)=0

Solution for (3+4t)(3-4t)=0 equation:

Simplifying
(3 + 4t)(3 + -4t) = 0

Multiply (3 + 4t) * (3 + -4t)
(3(3 + -4t) + 4t * (3 + -4t)) = 0
((3 * 3 + -4t * 3) + 4t * (3 + -4t)) = 0
((9 + -12t) + 4t * (3 + -4t)) = 0
(9 + -12t + (3 * 4t + -4t * 4t)) = 0
(9 + -12t + (12t + -16t2)) = 0

Combine like terms: -12t + 12t = 0
(9 + 0 + -16t2) = 0
(9 + -16t2) = 0

Solving
9 + -16t2 = 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 + -16t2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -16t2 = 0 + -9
-16t2 = 0 + -9

Combine like terms: 0 + -9 = -9
-16t2 = -9

Divide each side by '-16'.
t2 = 0.5625

Simplifying
t2 = 0.5625

Take the square root of each side:
t = {-0.75, 0.75}