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Simplifying 9xy + -8y2 + -1x2 = 0 Reorder the terms: 9xy + -1x2 + -8y2 = 0 Solving 9xy + -1x2 + -8y2 = 0 Solving for variable 'x'. Factor a trinomial. (-1x + y)(x + -8y) = 0Subproblem 1
Set the factor '(-1x + y)' equal to zero and attempt to solve: Simplifying -1x + y = 0 Solving -1x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1x + 0 = 0 + -1y -1x = 0 + -1y Remove the zero: -1x = -1y Divide each side by '-1'. x = y Simplifying x = ySubproblem 2
Set the factor '(x + -8y)' equal to zero and attempt to solve: Simplifying x + -8y = 0 Solving x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 x + 0 = 0 + 8y x = 0 + 8y Remove the zero: x = 8y Simplifying x = 8ySolution
x = {y, 8y}
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