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

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

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

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

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

Multiply (-3 + 4a) * (3 + 4a)
(-3(3 + 4a) + 4a * (3 + 4a)) = 0
((3 * -3 + 4a * -3) + 4a * (3 + 4a)) = 0
((-9 + -12a) + 4a * (3 + 4a)) = 0
(-9 + -12a + (3 * 4a + 4a * 4a)) = 0
(-9 + -12a + (12a + 16a2)) = 0

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

Solving
-9 + 16a2 = 0

Solving for variable 'a'.

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

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

Combine like terms: -9 + 9 = 0
0 + 16a2 = 0 + 9
16a2 = 0 + 9

Combine like terms: 0 + 9 = 9
16a2 = 9

Divide each side by '16'.
a2 = 0.5625

Simplifying
a2 = 0.5625

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