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Simplifying x2 + 13xy + -14y2 = 0 Reorder the terms: 13xy + x2 + -14y2 = 0 Solving 13xy + x2 + -14y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -1y)(x + 14y) = 0Subproblem 1
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySubproblem 2
Set the factor '(x + 14y)' equal to zero and attempt to solve: Simplifying x + 14y = 0 Solving x + 14y = 0 Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 x + 0 = 0 + -14y x = 0 + -14y Remove the zero: x = -14y Simplifying x = -14ySolution
x = {y, -14y}
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