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Simplifying 3x2 + -6xy + 11x = 0 Reorder the terms: 11x + -6xy + 3x2 = 0 Solving 11x + -6xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + -6y + 3x) = 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 '(11 + -6y + 3x)' equal to zero and attempt to solve: Simplifying 11 + -6y + 3x = 0 Reorder the terms: 11 + 3x + -6y = 0 Solving 11 + 3x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 3x + -11 + -6y = 0 + -11 Reorder the terms: 11 + -11 + 3x + -6y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3x + -6y = 0 + -11 3x + -6y = 0 + -11 Combine like terms: 0 + -11 = -11 3x + -6y = -11 Add '6y' to each side of the equation. 3x + -6y + 6y = -11 + 6y Combine like terms: -6y + 6y = 0 3x + 0 = -11 + 6y 3x = -11 + 6y Divide each side by '3'. x = -3.666666667 + 2y Simplifying x = -3.666666667 + 2ySolution
x = {0, -3.666666667 + 2y}
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