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Simplifying x2 + 4xy + -117y2 = 0 Reorder the terms: 4xy + x2 + -117y2 = 0 Solving 4xy + x2 + -117y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -9y)(x + 13y) = 0Subproblem 1
Set the factor '(x + -9y)' equal to zero and attempt to solve: Simplifying x + -9y = 0 Solving x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 x + 0 = 0 + 9y x = 0 + 9y Remove the zero: x = 9y Simplifying x = 9ySubproblem 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 = {9y, -13y}
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