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Simplifying 7x2 + -17xy + 6y2 = 0 Reorder the terms: -17xy + 7x2 + 6y2 = 0 Solving -17xy + 7x2 + 6y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -2y)(7x + -3y) = 0Subproblem 1
Set the factor '(x + -2y)' equal to zero and attempt to solve: Simplifying x + -2y = 0 Solving x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2ySubproblem 2
Set the factor '(7x + -3y)' equal to zero and attempt to solve: Simplifying 7x + -3y = 0 Solving 7x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 7x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7x + 0 = 0 + 3y 7x = 0 + 3y Remove the zero: 7x = 3y Divide each side by '7'. x = 0.4285714286y Simplifying x = 0.4285714286ySolution
x = {2y, 0.4285714286y}
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