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

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

Simplifying
(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}