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

Solution for (3a-4)(3a+4)=0 equation:

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

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

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

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

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

Solving
-16 + 9a2 = 0

Solving for variable 'a'.

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

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

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

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

Divide each side by '9'.
a2 = 1.777777778

Simplifying
a2 = 1.777777778

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