-(12xy-10x)+5(3xy-7x)=0

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Solution for -(12xy-10x)+5(3xy-7x)=0 equation: 


Simplifying
-1(12xy + -10x) + 5(3xy + -7x) = 0

Reorder the terms:
-1(-10x + 12xy) + 5(3xy + -7x) = 0
(-10x * -1 + 12xy * -1) + 5(3xy + -7x) = 0
(10x + -12xy) + 5(3xy + -7x) = 0

Reorder the terms:
10x + -12xy + 5(-7x + 3xy) = 0
10x + -12xy + (-7x * 5 + 3xy * 5) = 0
10x + -12xy + (-35x + 15xy) = 0

Reorder the terms:
10x + -35x + -12xy + 15xy = 0

Combine like terms: 10x + -35x = -25x
-25x + -12xy + 15xy = 0

Combine like terms: -12xy + 15xy = 3xy
-25x + 3xy = 0

Solving
-25x + 3xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-25 + 3y) = 0


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 '(-25 + 3y)' equal to zero and attempt to solve:

Simplifying
-25 + 3y = 0

Solving
-25 + 3y = 0

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

Add '25' to each side of the equation.
-25 + 25 + 3y = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 3y = 0 + 25
3y = 0 + 25

Combine like terms: 0 + 25 = 25
3y = 25

Add '-3y' to each side of the equation.
3y + -3y = 25 + -3y

Combine like terms: 3y + -3y = 0
0 = 25 + -3y

Simplifying
0 = 25 + -3y

The solution to this equation could not be determined.

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

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