(4a-3y)(4a-3y)=

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Solution for (4a-3y)(4a-3y)= equation: 


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

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

Reorder the terms:
((-12ay + 16a2) + -3y * (4a + -3y)) = 0
((-12ay + 16a2) + -3y * (4a + -3y)) = 0
(-12ay + 16a2 + (4a * -3y + -3y * -3y)) = 0
(-12ay + 16a2 + (-12ay + 9y2)) = 0

Reorder the terms:
(-12ay + -12ay + 16a2 + 9y2) = 0

Combine like terms: -12ay + -12ay = -24ay
(-24ay + 16a2 + 9y2) = 0

Solving
-24ay + 16a2 + 9y2 = 0

Solving for variable 'a'.

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


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

Simplifying
4a + -3y = 0

Solving
4a + -3y = 0

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

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

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

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

Simplifying
a = 0.75y

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

Simplifying
4a + -3y = 0

Solving
4a + -3y = 0

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

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

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

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

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

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