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Simplifying 28x4 + -108x2y + 35y2 = 0 Reorder the terms: -108x2y + 28x4 + 35y2 = 0 Solving -108x2y + 28x4 + 35y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x2 + -7y)(14x2 + -5y) = 0Subproblem 1
Set the factor '(2x2 + -7y)' equal to zero and attempt to solve: Simplifying 2x2 + -7y = 0 Solving 2x2 + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 2x2 + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 2x2 + 0 = 0 + 7y 2x2 = 0 + 7y Remove the zero: 2x2 = 7y Divide each side by '2'. x2 = 3.5y Simplifying x2 = 3.5y 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 '(14x2 + -5y)' equal to zero and attempt to solve: Simplifying 14x2 + -5y = 0 Solving 14x2 + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 14x2 + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 14x2 + 0 = 0 + 5y 14x2 = 0 + 5y Remove the zero: 14x2 = 5y Divide each side by '14'. x2 = 0.3571428571y Simplifying x2 = 0.3571428571y 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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