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

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

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

Multiply (4a + 3t) * (4a + -3t)
(4a * (4a + -3t) + 3t * (4a + -3t)) = 0
((4a * 4a + -3t * 4a) + 3t * (4a + -3t)) = 0

Reorder the terms:
((-12at + 16a2) + 3t * (4a + -3t)) = 0
((-12at + 16a2) + 3t * (4a + -3t)) = 0
(-12at + 16a2 + (4a * 3t + -3t * 3t)) = 0
(-12at + 16a2 + (12at + -9t2)) = 0

Reorder the terms:
(-12at + 12at + 16a2 + -9t2) = 0

Combine like terms: -12at + 12at = 0
(0 + 16a2 + -9t2) = 0
(16a2 + -9t2) = 0

Solving
16a2 + -9t2 = 0

Solving for variable 'a'.

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

Add '9t2' to each side of the equation.
16a2 + -9t2 + 9t2 = 0 + 9t2

Combine like terms: -9t2 + 9t2 = 0
16a2 + 0 = 0 + 9t2
16a2 = 0 + 9t2
Remove the zero:
16a2 = 9t2

Divide each side by '16'.
a2 = 0.5625t2

Simplifying
a2 = 0.5625t2

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