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Simplifying x2 + -7xy + 6y2 = 0 Reorder the terms: -7xy + x2 + 6y2 = 0 Solving -7xy + x2 + 6y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -6y)(x + -1y) = 0Subproblem 1
Set the factor '(x + -6y)' equal to zero and attempt to solve: Simplifying x + -6y = 0 Solving x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 x + 0 = 0 + 6y x = 0 + 6y Remove the zero: x = 6y Simplifying x = 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 = {6y, y}
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