36xy+6x+6y+1=49

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Solution for 36xy+6x+6y+1=49 equation:


Simplifying
36xy + 6x + 6y + 1 = 49

Reorder the terms:
1 + 6x + 36xy + 6y = 49

Solving
1 + 6x + 36xy + 6y = 49

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + 6x + 36xy + -1 + 6y = 49 + -1

Reorder the terms:
1 + -1 + 6x + 36xy + 6y = 49 + -1

Combine like terms: 1 + -1 = 0
0 + 6x + 36xy + 6y = 49 + -1
6x + 36xy + 6y = 49 + -1

Combine like terms: 49 + -1 = 48
6x + 36xy + 6y = 48

Add '-6y' to each side of the equation.
6x + 36xy + 6y + -6y = 48 + -6y

Combine like terms: 6y + -6y = 0
6x + 36xy + 0 = 48 + -6y
6x + 36xy = 48 + -6y

Reorder the terms:
-48 + 6x + 36xy + 6y = 48 + -6y + -48 + 6y

Reorder the terms:
-48 + 6x + 36xy + 6y = 48 + -48 + -6y + 6y

Combine like terms: 48 + -48 = 0
-48 + 6x + 36xy + 6y = 0 + -6y + 6y
-48 + 6x + 36xy + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
-48 + 6x + 36xy + 6y = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-8 + x + 6xy + y) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-8 + x + 6xy + y)' equal to zero and attempt to solve: Simplifying -8 + x + 6xy + y = 0 Solving -8 + x + 6xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + x + 6xy + 8 + y = 0 + 8 Reorder the terms: -8 + 8 + x + 6xy + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x + 6xy + y = 0 + 8 x + 6xy + y = 0 + 8 Combine like terms: 0 + 8 = 8 x + 6xy + y = 8 Add '-1y' to each side of the equation. x + 6xy + y + -1y = 8 + -1y Combine like terms: y + -1y = 0 x + 6xy + 0 = 8 + -1y x + 6xy = 8 + -1y 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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