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

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

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

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

Reorder the terms:
(-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}