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Simplifying 3xy + 9xy + 3x2 + 2x + 1x2 = 0 Reorder the terms: 2x + 3xy + 9xy + 3x2 + 1x2 = 0 Combine like terms: 3xy + 9xy = 12xy 2x + 12xy + 3x2 + 1x2 = 0 Combine like terms: 3x2 + 1x2 = 4x2 2x + 12xy + 4x2 = 0 Solving 2x + 12xy + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + 6y + 2x) = 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 '(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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