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Simplifying 3y2 + -17xy + -6x2 = 0 Reorder the terms: -17xy + -6x2 + 3y2 = 0 Solving -17xy + -6x2 + 3y2 = 0 Solving for variable 'x'. Factor a trinomial. (-1x + -3y)(6x + -1y) = 0Subproblem 1
Set the factor '(-1x + -3y)' equal to zero and attempt to solve: Simplifying -1x + -3y = 0 Solving -1x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -1x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = 0 + 3y -1x = 0 + 3y Remove the zero: -1x = 3y Divide each side by '-1'. x = -3y Simplifying x = -3ySubproblem 2
Set the factor '(6x + -1y)' equal to zero and attempt to solve: Simplifying 6x + -1y = 0 Solving 6x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 6x + -1y + y = 0 + y Combine like terms: -1y + y = 0 6x + 0 = 0 + y 6x = 0 + y Remove the zero: 6x = y Divide each side by '6'. x = 0.1666666667y Simplifying x = 0.1666666667ySolution
x = {-3y, 0.1666666667y}
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