(21x+30xy-18y)-(14x-12xy-11y)=0

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Solution for (21x+30xy-18y)-(14x-12xy-11y)=0 equation:


Simplifying
(21x + 30xy + -18y) + -1(14x + -12xy + -11y) = 0

Remove parenthesis around (21x + 30xy + -18y)
21x + 30xy + -18y + -1(14x + -12xy + -11y) = 0
21x + 30xy + -18y + (14x * -1 + -12xy * -1 + -11y * -1) = 0
21x + 30xy + -18y + (-14x + 12xy + 11y) = 0

Reorder the terms:
21x + -14x + 30xy + 12xy + -18y + 11y = 0

Combine like terms: 21x + -14x = 7x
7x + 30xy + 12xy + -18y + 11y = 0

Combine like terms: 30xy + 12xy = 42xy
7x + 42xy + -18y + 11y = 0

Combine like terms: -18y + 11y = -7y
7x + 42xy + -7y = 0

Solving
7x + 42xy + -7y = 0

Solving for variable 'x'.

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

Add '7y' to each side of the equation.
7x + 42xy + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
7x + 42xy + 0 = 0 + 7y
7x + 42xy = 0 + 7y
Remove the zero:
7x + 42xy = 7y

Combine like terms: 7y + -7y = 0
7x + 42xy + -7y = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(x + 6xy + -1y) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(x + 6xy + -1y)' equal to zero and attempt to solve: Simplifying x + 6xy + -1y = 0 Solving x + 6xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + 6xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 6xy + 0 = 0 + y x + 6xy = 0 + y Remove the zero: x + 6xy = y 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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