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Simplifying 27x4 + -60x2y + 25y2 = 0 Reorder the terms: -60x2y + 27x4 + 25y2 = 0 Solving -60x2y + 27x4 + 25y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x2 + -5y)(9x2 + -5y) = 0Subproblem 1
Set the factor '(3x2 + -5y)' equal to zero and attempt to solve: Simplifying 3x2 + -5y = 0 Solving 3x2 + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 3x2 + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 3x2 + 0 = 0 + 5y 3x2 = 0 + 5y Remove the zero: 3x2 = 5y Divide each side by '3'. x2 = 1.666666667y Simplifying x2 = 1.666666667y 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 + -5y)' equal to zero and attempt to solve: Simplifying 9x2 + -5y = 0 Solving 9x2 + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 9x2 + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 9x2 + 0 = 0 + 5y 9x2 = 0 + 5y Remove the zero: 9x2 = 5y Divide each side by '9'. x2 = 0.5555555556y Simplifying x2 = 0.5555555556y 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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