(4a+6b)(4a-6b)=

Solution for (4a+6b)(4a-6b)= equation:

Simplifying
(4a + 6b)(4a + -6b) = 0

Multiply (4a + 6b) * (4a + -6b)
(4a * (4a + -6b) + 6b * (4a + -6b)) = 0
((4a * 4a + -6b * 4a) + 6b * (4a + -6b)) = 0

Reorder the terms:
((-24ab + 16a2) + 6b * (4a + -6b)) = 0
((-24ab + 16a2) + 6b * (4a + -6b)) = 0
(-24ab + 16a2 + (4a * 6b + -6b * 6b)) = 0
(-24ab + 16a2 + (24ab + -36b2)) = 0

Reorder the terms:
(-24ab + 24ab + 16a2 + -36b2) = 0

Combine like terms: -24ab + 24ab = 0
(0 + 16a2 + -36b2) = 0
(16a2 + -36b2) = 0

Solving
16a2 + -36b2 = 0

Solving for variable 'a'.

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

Add '36b2' to each side of the equation.
16a2 + -36b2 + 36b2 = 0 + 36b2

Combine like terms: -36b2 + 36b2 = 0
16a2 + 0 = 0 + 36b2
16a2 = 0 + 36b2
Remove the zero:
16a2 = 36b2

Divide each side by '16'.
a2 = 2.25b2

Simplifying
a2 = 2.25b2

Take the square root of each side:
a = {-1.5b, 1.5b}