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Simplifying 4x4y2 + 20x2y + 25 = 0 Reorder the terms: 25 + 20x2y + 4x4y2 = 0 Solving 25 + 20x2y + 4x4y2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 2x2y)(5 + 2x2y) = 0Subproblem 1
Set the factor '(5 + 2x2y)' equal to zero and attempt to solve: Simplifying 5 + 2x2y = 0 Solving 5 + 2x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2y = 0 + -5 2x2y = 0 + -5 Combine like terms: 0 + -5 = -5 2x2y = -5 Divide each side by '2y'. x2 = -2.5y-1 Simplifying x2 = -2.5y-1 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 '(5 + 2x2y)' equal to zero and attempt to solve: Simplifying 5 + 2x2y = 0 Solving 5 + 2x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2y = 0 + -5 2x2y = 0 + -5 Combine like terms: 0 + -5 = -5 2x2y = -5 Divide each side by '2y'. x2 = -2.5y-1 Simplifying x2 = -2.5y-1 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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