(3x-5y)(3x-5y)=

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Solution for (3x-5y)(3x-5y)= equation: 


Simplifying
(3x + -5y)(3x + -5y) = 0

Multiply (3x + -5y) * (3x + -5y)
(3x * (3x + -5y) + -5y * (3x + -5y)) = 0
((3x * 3x + -5y * 3x) + -5y * (3x + -5y)) = 0

Reorder the terms:
((-15xy + 9x2) + -5y * (3x + -5y)) = 0
((-15xy + 9x2) + -5y * (3x + -5y)) = 0
(-15xy + 9x2 + (3x * -5y + -5y * -5y)) = 0
(-15xy + 9x2 + (-15xy + 25y2)) = 0

Reorder the terms:
(-15xy + -15xy + 9x2 + 25y2) = 0

Combine like terms: -15xy + -15xy = -30xy
(-30xy + 9x2 + 25y2) = 0

Solving
-30xy + 9x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -5y)(3x + -5y) = 0


Subproblem 1
Set the factor '(3x + -5y)' equal to zero and attempt to solve:

Simplifying
3x + -5y = 0

Solving
3x + -5y = 0

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

Add '5y' to each side of the equation.
3x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
3x + 0 = 0 + 5y
3x = 0 + 5y
Remove the zero:
3x = 5y

Divide each side by '3'.
x = 1.666666667y

Simplifying
x = 1.666666667y

Subproblem 2
Set the factor '(3x + -5y)' equal to zero and attempt to solve:

Simplifying
3x + -5y = 0

Solving
3x + -5y = 0

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

Add '5y' to each side of the equation.
3x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
3x + 0 = 0 + 5y
3x = 0 + 5y
Remove the zero:
3x = 5y

Divide each side by '3'.
x = 1.666666667y

Simplifying
x = 1.666666667y
Solution
x = {1.666666667y, 1.666666667y}

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