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