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Simplifying 13y2 + -5yx + -8x2 = 0 Reorder the terms: -5xy + -8x2 + 13y2 = 0 Solving -5xy + -8x2 + 13y2 = 0 Solving for variable 'x'. Factor a trinomial. (-8x + -13y)(x + -1y) = 0Subproblem 1
Set the factor '(-8x + -13y)' equal to zero and attempt to solve: Simplifying -8x + -13y = 0 Solving -8x + -13y = 0 Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. -8x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 -8x + 0 = 0 + 13y -8x = 0 + 13y Remove the zero: -8x = 13y Divide each side by '-8'. x = -1.625y Simplifying x = -1.625ySubproblem 2
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 = ySolution
x = {-1.625y, y}
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