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Simplifying 10x4 + -9x2y + -9y2 = 0 Reorder the terms: -9x2y + 10x4 + -9y2 = 0 Solving -9x2y + 10x4 + -9y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x2 + -3y)(5x2 + 3y) = 0Subproblem 1
Set the factor '(2x2 + -3y)' equal to zero and attempt to solve: Simplifying 2x2 + -3y = 0 Solving 2x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x2 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x2 + 0 = 0 + 3y 2x2 = 0 + 3y Remove the zero: 2x2 = 3y Divide each side by '2'. x2 = 1.5y Simplifying x2 = 1.5y 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 '(5x2 + 3y)' equal to zero and attempt to solve: Simplifying 5x2 + 3y = 0 Solving 5x2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x2 + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 5x2 + 0 = 0 + -3y 5x2 = 0 + -3y Remove the zero: 5x2 = -3y Divide each side by '5'. x2 = -0.6y Simplifying x2 = -0.6y 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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