6x-3=29-2xy

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Solution for 6x-3=29-2xy equation:


Simplifying
6x + -3 = 29 + -2xy

Reorder the terms:
-3 + 6x = 29 + -2xy

Solving
-3 + 6x = 29 + -2xy

Solving for variable 'x'.

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

Add '2xy' to each side of the equation.
-3 + 6x + 2xy = 29 + -2xy + 2xy

Combine like terms: -2xy + 2xy = 0
-3 + 6x + 2xy = 29 + 0
-3 + 6x + 2xy = 29

Add '3' to each side of the equation.
-3 + 6x + 3 + 2xy = 29 + 3

Reorder the terms:
-3 + 3 + 6x + 2xy = 29 + 3

Combine like terms: -3 + 3 = 0
0 + 6x + 2xy = 29 + 3
6x + 2xy = 29 + 3

Combine like terms: 29 + 3 = 32
6x + 2xy = 32

Reorder the terms:
-32 + 6x + 2xy = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + 6x + 2xy = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 3x + xy) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-16 + 3x + xy)' equal to zero and attempt to solve: Simplifying -16 + 3x + xy = 0 Solving -16 + 3x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 3x + 16 + xy = 0 + 16 Reorder the terms: -16 + 16 + 3x + xy = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3x + xy = 0 + 16 3x + xy = 0 + 16 Combine like terms: 0 + 16 = 16 3x + xy = 16 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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