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

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