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

Solution for (4a+3)(4a-3)=0 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}