(5x-3y)*27x=

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Solution for (5x-3y)*27x= equation: 


Simplifying
(5x + -3y) * 27x = 0

Reorder the terms for easier multiplication:
27x(5x + -3y) = 0
(5x * 27x + -3y * 27x) = 0

Reorder the terms:
(-81xy + 135x2) = 0
(-81xy + 135x2) = 0

Solving
-81xy + 135x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '27x'.
27x(-3y + 5x) = 0

Ignore the factor 27.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-3y + 5x = 0

Reorder the terms:
5x + -3y = 0

Solving
5x + -3y = 0

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

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

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

Divide each side by '5'.
x = 0.6y

Simplifying
x = 0.6y
Solution
x = {0, 0.6y}

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