(3x+2y-1)5a=

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Solution for (3x+2y-1)5a= equation: 


Simplifying
(3x + 2y + -1) * 5a = 0

Reorder the terms:
(-1 + 3x + 2y) * 5a = 0

Reorder the terms for easier multiplication:
5a(-1 + 3x + 2y) = 0
(-1 * 5a + 3x * 5a + 2y * 5a) = 0
(-5a + 15ax + 10ay) = 0

Solving
-5a + 15ax + 10ay = 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), '5a'.
5a(-1 + 3x + 2y) = 0

Ignore the factor 5.

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 '(-1 + 3x + 2y)' equal to zero and attempt to solve:

Simplifying
-1 + 3x + 2y = 0

Solving
-1 + 3x + 2y = 0

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

Add '1' to each side of the equation.
-1 + 3x + 1 + 2y = 0 + 1

Reorder the terms:
-1 + 1 + 3x + 2y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x + 2y = 0 + 1
3x + 2y = 0 + 1

Combine like terms: 0 + 1 = 1
3x + 2y = 1

Add '-3x' to each side of the equation.
3x + -3x + 2y = 1 + -3x

Combine like terms: 3x + -3x = 0
0 + 2y = 1 + -3x
2y = 1 + -3x

Add '-2y' to each side of the equation.
2y + -2y = 1 + -3x + -2y

Combine like terms: 2y + -2y = 0
0 = 1 + -3x + -2y

Simplifying
0 = 1 + -3x + -2y

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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