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Simplifying x2 + -8xy + -65y2 = 0 Reorder the terms: -8xy + x2 + -65y2 = 0 Solving -8xy + x2 + -65y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -13y)(x + 5y) = 0Subproblem 1
Set the factor '(x + -13y)' equal to zero and attempt to solve: Simplifying x + -13y = 0 Solving x + -13y = 0 Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 x + 0 = 0 + 13y x = 0 + 13y Remove the zero: x = 13y Simplifying x = 13ySubproblem 2
Set the factor '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySolution
x = {13y, -5y}
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