-3a(5x-y)=

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


Simplifying
-3a(5x + -1y) = 0
(5x * -3a + -1y * -3a) = 0
(-15ax + 3ay) = 0

Solving
-15ax + 3ay = 0

Solving for variable 'a'.

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

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

Ignore the factor 3.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

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

Simplifying
-5x + y = 0

Solving
-5x + y = 0

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

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

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

Add '-1y' to each side of the equation.
y + -1y = 5x + -1y

Combine like terms: y + -1y = 0
0 = 5x + -1y

Simplifying
0 = 5x + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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