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

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

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

Multiply (3a + 4b) * (3a + -4b)
(3a * (3a + -4b) + 4b * (3a + -4b)) = 0
((3a * 3a + -4b * 3a) + 4b * (3a + -4b)) = 0

Reorder the terms:
((-12ab + 9a2) + 4b * (3a + -4b)) = 0
((-12ab + 9a2) + 4b * (3a + -4b)) = 0
(-12ab + 9a2 + (3a * 4b + -4b * 4b)) = 0
(-12ab + 9a2 + (12ab + -16b2)) = 0

Reorder the terms:
(-12ab + 12ab + 9a2 + -16b2) = 0

Combine like terms: -12ab + 12ab = 0
(0 + 9a2 + -16b2) = 0
(9a2 + -16b2) = 0

Solving
9a2 + -16b2 = 0

Solving for variable 'a'.

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

Add '16b2' to each side of the equation.
9a2 + -16b2 + 16b2 = 0 + 16b2

Combine like terms: -16b2 + 16b2 = 0
9a2 + 0 = 0 + 16b2
9a2 = 0 + 16b2
Remove the zero:
9a2 = 16b2

Divide each side by '9'.
a2 = 1.777777778b2

Simplifying
a2 = 1.777777778b2

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