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Simplifying 7x2 + -1xy + -6y2 = 0 Reorder the terms: -1xy + 7x2 + -6y2 = 0 Solving -1xy + 7x2 + -6y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -1y)(7x + 6y) = 0Subproblem 1
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 = ySubproblem 2
Set the factor '(7x + 6y)' equal to zero and attempt to solve: Simplifying 7x + 6y = 0 Solving 7x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 7x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 7x + 0 = 0 + -6y 7x = 0 + -6y Remove the zero: 7x = -6y Divide each side by '7'. x = -0.8571428571y Simplifying x = -0.8571428571ySolution
x = {y, -0.8571428571y}
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