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Simplifying x2 + -13xy + -30y2 = 0 Reorder the terms: -13xy + x2 + -30y2 = 0 Solving -13xy + x2 + -30y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -15y)(x + 2y) = 0Subproblem 1
Set the factor '(x + -15y)' equal to zero and attempt to solve: Simplifying x + -15y = 0 Solving x + -15y = 0 Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 x + 0 = 0 + 15y x = 0 + 15y Remove the zero: x = 15y Simplifying x = 15ySubproblem 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 = {15y, -2y}
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