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Simplifying x2 + 8xy + -33y2 = 0 Reorder the terms: 8xy + x2 + -33y2 = 0 Solving 8xy + x2 + -33y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -3y)(x + 11y) = 0Subproblem 1
Set the factor '(x + -3y)' equal to zero and attempt to solve: Simplifying x + -3y = 0 Solving x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 0 = 0 + 3y x = 0 + 3y Remove the zero: x = 3y Simplifying x = 3ySubproblem 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 = {3y, -11y}
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