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Simplifying x2 + -10xy + -11y2 = 0 Reorder the terms: -10xy + x2 + -11y2 = 0 Solving -10xy + x2 + -11y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -11y)(x + y) = 0Subproblem 1
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 = 11ySubproblem 2
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {11y, -1y}
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