3ab(2x-y)-5a^2(y-2x)=0

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Solution for 3ab(2x-y)-5a^2(y-2x)=0 equation: 


Simplifying
3ab(2x + -1y) + -5a2(y + -2x) = 0
(2x * 3ab + -1y * 3ab) + -5a2(y + -2x) = 0
(6abx + -3aby) + -5a2(y + -2x) = 0

Reorder the terms:
6abx + -3aby + -5a2(-2x + y) = 0
6abx + -3aby + (-2x * -5a2 + y * -5a2) = 0
6abx + -3aby + (10a2x + -5a2y) = 0

Solving
6abx + -3aby + 10a2x + -5a2y = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(6bx + -3by + 10ax + -5ay) = 0


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 '(6bx + -3by + 10ax + -5ay)' equal to zero and attempt to solve:

Simplifying
6bx + -3by + 10ax + -5ay = 0

Reorder the terms:
10ax + -5ay + 6bx + -3by = 0

Solving
10ax + -5ay + 6bx + -3by = 0

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

Add '-6bx' to each side of the equation.
10ax + -5ay + 6bx + -6bx + -3by = 0 + -6bx

Combine like terms: 6bx + -6bx = 0
10ax + -5ay + 0 + -3by = 0 + -6bx
10ax + -5ay + -3by = 0 + -6bx
Remove the zero:
10ax + -5ay + -3by = -6bx

Add '3by' to each side of the equation.
10ax + -5ay + -3by + 3by = -6bx + 3by

Combine like terms: -3by + 3by = 0
10ax + -5ay + 0 = -6bx + 3by
10ax + -5ay = -6bx + 3by

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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