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Simplifying 2x2 + 11xy + -6x2 = 0 Reorder the terms: 11xy + 2x2 + -6x2 = 0 Combine like terms: 2x2 + -6x2 = -4x2 11xy + -4x2 = 0 Solving 11xy + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11y + -4x) = 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 '(11y + -4x)' equal to zero and attempt to solve: Simplifying 11y + -4x = 0 Reorder the terms: -4x + 11y = 0 Solving -4x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. -4x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 -4x + 0 = 0 + -11y -4x = 0 + -11y Remove the zero: -4x = -11y Divide each side by '-4'. x = 2.75y Simplifying x = 2.75ySolution
x = {0, 2.75y}
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