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

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

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

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

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

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

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

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

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

Solving
-16a2 + 9b2 = 0

Solving for variable 'a'.

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

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

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

Divide each side by '-16'.
a2 = 0.5625b2

Simplifying
a2 = 0.5625b2

Take the square root of each side:
a = {-0.75b, 0.75b}