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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 + -5y)(x + 13y) = 0Subproblem 1
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 = 5ySubproblem 2
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 = -13ySolution
x = {5y, -13y}
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