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Simplifying 3x2 + 5xy + 6yx + 2x2 = 0 Reorder the terms: 5xy + 6xy + 3x2 + 2x2 = 0 Combine like terms: 5xy + 6xy = 11xy 11xy + 3x2 + 2x2 = 0 Combine like terms: 3x2 + 2x2 = 5x2 11xy + 5x2 = 0 Solving 11xy + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11y + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying 11y + 5x = 0 Reorder the terms: 5x + 11y = 0 Solving 5x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 5x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 5x + 0 = 0 + -11y 5x = 0 + -11y Remove the zero: 5x = -11y Divide each side by '5'. x = -2.2y Simplifying x = -2.2ySolution
x = {0, -2.2y}
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