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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 + -13y)(x + -2y) = 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 + -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 = 2ySolution
x = {13y, 2y}
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