(9x-5y)(9x-5y)=

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Solution for (9x-5y)(9x-5y)= equation: 


Simplifying
(9x + -5y)(9x + -5y) = 0

Multiply (9x + -5y) * (9x + -5y)
(9x * (9x + -5y) + -5y * (9x + -5y)) = 0
((9x * 9x + -5y * 9x) + -5y * (9x + -5y)) = 0

Reorder the terms:
((-45xy + 81x2) + -5y * (9x + -5y)) = 0
((-45xy + 81x2) + -5y * (9x + -5y)) = 0
(-45xy + 81x2 + (9x * -5y + -5y * -5y)) = 0
(-45xy + 81x2 + (-45xy + 25y2)) = 0

Reorder the terms:
(-45xy + -45xy + 81x2 + 25y2) = 0

Combine like terms: -45xy + -45xy = -90xy
(-90xy + 81x2 + 25y2) = 0

Solving
-90xy + 81x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x + -5y)(9x + -5y) = 0


Subproblem 1
Set the factor '(9x + -5y)' equal to zero and attempt to solve:

Simplifying
9x + -5y = 0

Solving
9x + -5y = 0

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

Add '5y' to each side of the equation.
9x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
9x + 0 = 0 + 5y
9x = 0 + 5y
Remove the zero:
9x = 5y

Divide each side by '9'.
x = 0.5555555556y

Simplifying
x = 0.5555555556y

Subproblem 2
Set the factor '(9x + -5y)' equal to zero and attempt to solve:

Simplifying
9x + -5y = 0

Solving
9x + -5y = 0

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

Add '5y' to each side of the equation.
9x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
9x + 0 = 0 + 5y
9x = 0 + 5y
Remove the zero:
9x = 5y

Divide each side by '9'.
x = 0.5555555556y

Simplifying
x = 0.5555555556y
Solution
x = {0.5555555556y, 0.5555555556y}

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