(4x-3y)(4x-3y)=

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


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

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

Reorder the terms:
((-12xy + 16x2) + -3y * (4x + -3y)) = 0
((-12xy + 16x2) + -3y * (4x + -3y)) = 0
(-12xy + 16x2 + (4x * -3y + -3y * -3y)) = 0
(-12xy + 16x2 + (-12xy + 9y2)) = 0

Reorder the terms:
(-12xy + -12xy + 16x2 + 9y2) = 0

Combine like terms: -12xy + -12xy = -24xy
(-24xy + 16x2 + 9y2) = 0

Solving
-24xy + 16x2 + 9y2 = 0

Solving for variable 'x'.

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


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

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

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

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

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

Simplifying
x = 0.75y

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

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

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

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

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

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

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