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Simplifying 2x2 + 11xy + -121y2 = 0 Reorder the terms: 11xy + 2x2 + -121y2 = 0 Solving 11xy + 2x2 + -121y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -11y)(x + 11y) = 0Subproblem 1
Set the factor '(2x + -11y)' equal to zero and attempt to solve: Simplifying 2x + -11y = 0 Solving 2x + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 2x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 2x + 0 = 0 + 11y 2x = 0 + 11y Remove the zero: 2x = 11y Divide each side by '2'. x = 5.5y Simplifying x = 5.5ySubproblem 2
Set the factor '(x + 11y)' equal to zero and attempt to solve: Simplifying x + 11y = 0 Solving x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 x + 0 = 0 + -11y x = 0 + -11y Remove the zero: x = -11y Simplifying x = -11ySolution
x = {5.5y, -11y}
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