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Simplifying 2x2 + 6xy + -1x = 0 Reorder the terms: -1x + 6xy + 2x2 = 0 Solving -1x + 6xy + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 6y + 2x) = 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 '(-1 + 6y + 2x)' equal to zero and attempt to solve: Simplifying -1 + 6y + 2x = 0 Reorder the terms: -1 + 2x + 6y = 0 Solving -1 + 2x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x + 1 + 6y = 0 + 1 Reorder the terms: -1 + 1 + 2x + 6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + 6y = 0 + 1 2x + 6y = 0 + 1 Combine like terms: 0 + 1 = 1 2x + 6y = 1 Add '-6y' to each side of the equation. 2x + 6y + -6y = 1 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 1 + -6y 2x = 1 + -6y Divide each side by '2'. x = 0.5 + -3y Simplifying x = 0.5 + -3ySolution
x = {0, 0.5 + -3y}
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