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Simplifying 3x4 + -11x2y + 6y2 = 0 Reorder the terms: -11x2y + 3x4 + 6y2 = 0 Solving -11x2y + 3x4 + 6y2 = 0 Solving for variable 'x'. Factor a trinomial. (x2 + -3y)(3x2 + -2y) = 0Subproblem 1
Set the factor '(x2 + -3y)' equal to zero and attempt to solve: Simplifying x2 + -3y = 0 Solving x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x2 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x2 + 0 = 0 + 3y x2 = 0 + 3y Remove the zero: x2 = 3y Simplifying x2 = 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3x2 + -2y)' equal to zero and attempt to solve: Simplifying 3x2 + -2y = 0 Solving 3x2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3x2 + 0 = 0 + 2y 3x2 = 0 + 2y Remove the zero: 3x2 = 2y Divide each side by '3'. x2 = 0.6666666667y Simplifying x2 = 0.6666666667y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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