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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. (7x + 3y)(x + 2y) = 0Subproblem 1
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 = -0.4285714286ySubproblem 2
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 = -2ySolution
x = {-0.4285714286y, -2y}
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