7xy=21x-35y+14

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Solution for 7xy=21x-35y+14 equation:


Simplifying
7xy = 21x + -35y + 14

Reorder the terms:
7xy = 14 + 21x + -35y

Solving
7xy = 14 + 21x + -35y

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-21x + 7xy = 14 + 21x + -21x + -35y

Combine like terms: 21x + -21x = 0
-21x + 7xy = 14 + 0 + -35y
-21x + 7xy = 14 + -35y

Reorder the terms:
-14 + -21x + 7xy + 35y = 14 + -35y + -14 + 35y

Reorder the terms:
-14 + -21x + 7xy + 35y = 14 + -14 + -35y + 35y

Combine like terms: 14 + -14 = 0
-14 + -21x + 7xy + 35y = 0 + -35y + 35y
-14 + -21x + 7xy + 35y = -35y + 35y

Combine like terms: -35y + 35y = 0
-14 + -21x + 7xy + 35y = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-2 + -3x + xy + 5y) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(-2 + -3x + xy + 5y)' equal to zero and attempt to solve: Simplifying -2 + -3x + xy + 5y = 0 Solving -2 + -3x + xy + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3x + xy + 2 + 5y = 0 + 2 Reorder the terms: -2 + 2 + -3x + xy + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + xy + 5y = 0 + 2 -3x + xy + 5y = 0 + 2 Combine like terms: 0 + 2 = 2 -3x + xy + 5y = 2 Add '-5y' to each side of the equation. -3x + xy + 5y + -5y = 2 + -5y Combine like terms: 5y + -5y = 0 -3x + xy + 0 = 2 + -5y -3x + xy = 2 + -5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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