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Simplifying 5x2 + -13xy + 8y2 = 0 Reorder the terms: -13xy + 5x2 + 8y2 = 0 Solving -13xy + 5x2 + 8y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -8y)(x + -1y) = 0Subproblem 1
Set the factor '(5x + -8y)' equal to zero and attempt to solve: Simplifying 5x + -8y = 0 Solving 5x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 5x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 5x + 0 = 0 + 8y 5x = 0 + 8y Remove the zero: 5x = 8y Divide each side by '5'. x = 1.6y Simplifying x = 1.6ySubproblem 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 = {1.6y, y}
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