(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 = -24ab
(-24ab + 16a2 + 9b2) = 0

Solving
-24ab + 16a2 + 9b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4a + -3b)(4a + -3b) = 0

Subproblem 1
Set the factor '(4a + -3b)' equal to zero and attempt to solve:

Simplifying
4a + -3b = 0

Solving
4a + -3b = 0

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

Add '3b' to each side of the equation.
4a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
4a + 0 = 0 + 3b
4a = 0 + 3b
Remove the zero:
4a = 3b

Divide each side by '4'.
a = 0.75b

Simplifying
a = 0.75b
Subproblem 2
Set the factor '(4a + -3b)' equal to zero and attempt to solve:

Simplifying
4a + -3b = 0

Solving
4a + -3b = 0

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

Add '3b' to each side of the equation.
4a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
4a + 0 = 0 + 3b
4a = 0 + 3b
Remove the zero:
4a = 3b

Divide each side by '4'.
a = 0.75b

Simplifying
a = 0.75b
Solution
a = {0.75b, 0.75b}