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Simplifying 3x4 + 11x2y + -4y2 = 0 Reorder the terms: 11x2y + 3x4 + -4y2 = 0 Solving 11x2y + 3x4 + -4y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x2 + -1y)(x2 + 4y) = 0Subproblem 1
Set the factor '(3x2 + -1y)' equal to zero and attempt to solve: Simplifying 3x2 + -1y = 0 Solving 3x2 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x2 + -1y + y = 0 + y Combine like terms: -1y + y = 0 3x2 + 0 = 0 + y 3x2 = 0 + y Remove the zero: 3x2 = y Divide each side by '3'. x2 = 0.3333333333y Simplifying x2 = 0.3333333333y 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 '(x2 + 4y)' equal to zero and attempt to solve: Simplifying x2 + 4y = 0 Solving x2 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x2 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x2 + 0 = 0 + -4y x2 = 0 + -4y Remove the zero: x2 = -4y Simplifying x2 = -4y 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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