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Simplifying 6xy + 3x2 + -6yx + -5x + xy + -4x2 = 0 Reorder the terms: -5x + 6xy + -6xy + xy + 3x2 + -4x2 = 0 Combine like terms: 6xy + -6xy = 0 -5x + 0 + xy + 3x2 + -4x2 = 0 -5x + xy + 3x2 + -4x2 = 0 Combine like terms: 3x2 + -4x2 = -1x2 -5x + xy + -1x2 = 0 Solving -5x + xy + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + y + -1x) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-5 + y + -1x)' equal to zero and attempt to solve: Simplifying -5 + y + -1x = 0 Reorder the terms: -5 + -1x + y = 0 Solving -5 + -1x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1x + 5 + y = 0 + 5 Reorder the terms: -5 + 5 + -1x + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x + y = 0 + 5 -1x + y = 0 + 5 Combine like terms: 0 + 5 = 5 -1x + y = 5 Add '-1y' to each side of the equation. -1x + y + -1y = 5 + -1y Combine like terms: y + -1y = 0 -1x + 0 = 5 + -1y -1x = 5 + -1y Divide each side by '-1'. x = -5 + y Simplifying x = -5 + ySolution
x = {0, -5 + y}
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