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Simplifying x2 + 15xy + 26y2 = 0 Reorder the terms: 15xy + x2 + 26y2 = 0 Solving 15xy + x2 + 26y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 2y)(x + 13y) = 0Subproblem 1
Set the factor '(x + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySubproblem 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 = {-2y, -13y}
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