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Simplifying x4 + 5x2y2 + 4y4 = 0 Reorder the terms: 5x2y2 + x4 + 4y4 = 0 Solving 5x2y2 + x4 + 4y4 = 0 Solving for variable 'x'. Factor a trinomial. (x2 + y2)(x2 + 4y2) = 0Subproblem 1
Set the factor '(x2 + y2)' equal to zero and attempt to solve: Simplifying x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = 0 + -1y2 x2 = 0 + -1y2 Remove the zero: x2 = -1y2 Simplifying x2 = -1y2 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 '(x2 + 4y2)' equal to zero and attempt to solve: Simplifying x2 + 4y2 = 0 Solving x2 + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. x2 + 4y2 + -4y2 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 x2 + 0 = 0 + -4y2 x2 = 0 + -4y2 Remove the zero: x2 = -4y2 Simplifying x2 = -4y2 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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