(9x-2y)(x-2y)=

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Solution for (9x-2y)(x-2y)= equation: 


Simplifying
(9x + -2y)(x + -2y) = 0

Multiply (9x + -2y) * (x + -2y)
(9x * (x + -2y) + -2y * (x + -2y)) = 0
((x * 9x + -2y * 9x) + -2y * (x + -2y)) = 0

Reorder the terms:
((-18xy + 9x2) + -2y * (x + -2y)) = 0
((-18xy + 9x2) + -2y * (x + -2y)) = 0
(-18xy + 9x2 + (x * -2y + -2y * -2y)) = 0
(-18xy + 9x2 + (-2xy + 4y2)) = 0

Reorder the terms:
(-18xy + -2xy + 9x2 + 4y2) = 0

Combine like terms: -18xy + -2xy = -20xy
(-20xy + 9x2 + 4y2) = 0

Solving
-20xy + 9x2 + 4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -2y)(9x + -2y) = 0


Subproblem 1
Set the factor '(x + -2y)' equal to zero and attempt to solve:

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

Add '2y' to each side of the equation.
x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

Simplifying
x = 2y

Subproblem 2
Set the factor '(9x + -2y)' equal to zero and attempt to solve:

Simplifying
9x + -2y = 0

Solving
9x + -2y = 0

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

Add '2y' to each side of the equation.
9x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
9x + 0 = 0 + 2y
9x = 0 + 2y
Remove the zero:
9x = 2y

Divide each side by '9'.
x = 0.2222222222y

Simplifying
x = 0.2222222222y
Solution
x = {2y, 0.2222222222y}

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