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