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

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

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

Reorder the terms:
(4 + 3t)(3t + -4) = 0

Reorder the terms:
(4 + 3t)(-4 + 3t) = 0

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

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

Solving
-16 + 9t2 = 0

Solving for variable 't'.

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

Add '16' to each side of the equation.
-16 + 16 + 9t2 = 0 + 16

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

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

Divide each side by '9'.
t2 = 1.777777778

Simplifying
t2 = 1.777777778

Take the square root of each side:
t = {-1.333333333, 1.333333333}