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Simplifying 36x4 + -11x2y + -12y2 = 0 Reorder the terms: -11x2y + 36x4 + -12y2 = 0 Solving -11x2y + 36x4 + -12y2 = 0 Solving for variable 'x'. Factor a trinomial. (4x2 + -3y)(9x2 + 4y) = 0Subproblem 1
Set the factor '(4x2 + -3y)' equal to zero and attempt to solve: Simplifying 4x2 + -3y = 0 Solving 4x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x2 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 4x2 + 0 = 0 + 3y 4x2 = 0 + 3y Remove the zero: 4x2 = 3y Divide each side by '4'. x2 = 0.75y Simplifying x2 = 0.75y 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 '(9x2 + 4y)' equal to zero and attempt to solve: Simplifying 9x2 + 4y = 0 Solving 9x2 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 9x2 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 9x2 + 0 = 0 + -4y 9x2 = 0 + -4y Remove the zero: 9x2 = -4y Divide each side by '9'. x2 = -0.4444444444y Simplifying x2 = -0.4444444444y 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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