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Simplifying 33x2 + 14xy + y2 = 0 Reorder the terms: 14xy + 33x2 + y2 = 0 Solving 14xy + 33x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (11x + y)(3x + y) = 0Subproblem 1
Set the factor '(11x + y)' equal to zero and attempt to solve: Simplifying 11x + y = 0 Solving 11x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 11x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 11x + 0 = 0 + -1y 11x = 0 + -1y Remove the zero: 11x = -1y Divide each side by '11'. x = -0.09090909091y Simplifying x = -0.09090909091ySubproblem 2
Set the factor '(3x + y)' equal to zero and attempt to solve: Simplifying 3x + y = 0 Solving 3x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 3x + 0 = 0 + -1y 3x = 0 + -1y Remove the zero: 3x = -1y Divide each side by '3'. x = -0.3333333333y Simplifying x = -0.3333333333ySolution
x = {-0.09090909091y, -0.3333333333y}
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