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Simplifying (x2 + 5y5)(x2 + -1y5) = 0 Multiply (x2 + 5y5) * (x2 + -1y5) (x2(x2 + -1y5) + 5y5 * (x2 + -1y5)) = 0 ((x2 * x2 + -1y5 * x2) + 5y5 * (x2 + -1y5)) = 0 Reorder the terms: ((-1x2y5 + x4) + 5y5 * (x2 + -1y5)) = 0 ((-1x2y5 + x4) + 5y5 * (x2 + -1y5)) = 0 (-1x2y5 + x4 + (x2 * 5y5 + -1y5 * 5y5)) = 0 (-1x2y5 + x4 + (5x2y5 + -5y10)) = 0 Reorder the terms: (-1x2y5 + 5x2y5 + x4 + -5y10) = 0 Combine like terms: -1x2y5 + 5x2y5 = 4x2y5 (4x2y5 + x4 + -5y10) = 0 Solving 4x2y5 + x4 + -5y10 = 0 Solving for variable 'x'. Factor a trinomial. (x2 + -1y5)(x2 + 5y5) = 0Subproblem 1
Set the factor '(x2 + -1y5)' equal to zero and attempt to solve: Simplifying x2 + -1y5 = 0 Solving x2 + -1y5 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y5' to each side of the equation. x2 + -1y5 + y5 = 0 + y5 Combine like terms: -1y5 + y5 = 0 x2 + 0 = 0 + y5 x2 = 0 + y5 Remove the zero: x2 = y5 Simplifying x2 = y5 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 + 5y5)' equal to zero and attempt to solve: Simplifying x2 + 5y5 = 0 Solving x2 + 5y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y5' to each side of the equation. x2 + 5y5 + -5y5 = 0 + -5y5 Combine like terms: 5y5 + -5y5 = 0 x2 + 0 = 0 + -5y5 x2 = 0 + -5y5 Remove the zero: x2 = -5y5 Simplifying x2 = -5y5 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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