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Simplifying 40x4 + -41x2y + 10y2 = 0 Reorder the terms: -41x2y + 40x4 + 10y2 = 0 Solving -41x2y + 40x4 + 10y2 = 0 Solving for variable 'x'. Factor a trinomial. (8x2 + -5y)(5x2 + -2y) = 0Subproblem 1
Set the factor '(8x2 + -5y)' equal to zero and attempt to solve: Simplifying 8x2 + -5y = 0 Solving 8x2 + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 8x2 + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 8x2 + 0 = 0 + 5y 8x2 = 0 + 5y Remove the zero: 8x2 = 5y Divide each side by '8'. x2 = 0.625y Simplifying x2 = 0.625y 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 + -2y)' equal to zero and attempt to solve: Simplifying 5x2 + -2y = 0 Solving 5x2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 5x2 + 0 = 0 + 2y 5x2 = 0 + 2y Remove the zero: 5x2 = 2y Divide each side by '5'. x2 = 0.4y Simplifying x2 = 0.4y 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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