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Simplifying 11x2 + 24xy + 4y2 = 0 Reorder the terms: 24xy + 11x2 + 4y2 = 0 Solving 24xy + 11x2 + 4y2 = 0 Solving for variable 'x'. Factor a trinomial. (11x + 2y)(x + 2y) = 0Subproblem 1
Set the factor '(11x + 2y)' equal to zero and attempt to solve: Simplifying 11x + 2y = 0 Solving 11x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 11x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 11x + 0 = 0 + -2y 11x = 0 + -2y Remove the zero: 11x = -2y Divide each side by '11'. x = -0.1818181818y Simplifying x = -0.1818181818ySubproblem 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 = {-0.1818181818y, -2y}
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