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

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

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

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

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

Reorder the terms for easier multiplication:
x(-4 + 3a)(4 + 3a) = 0

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

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

Reorder the terms:
(9a2x + -16x) = 0
(9a2x + -16x) = 0

Solving
9a2x + -16x = 0

Solving for variable 'a'.

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

Add '16x' to each side of the equation.
9a2x + -16x + 16x = 0 + 16x

Combine like terms: -16x + 16x = 0
9a2x + 0 = 0 + 16x
9a2x = 0 + 16x
Remove the zero:
9a2x = 16x

Divide each side by '9x'.
a2 = 1.777777778

Simplifying
a2 = 1.777777778

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