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Simplifying (x2 + y5)(x2 + -1y5) = 0 Multiply (x2 + y5) * (x2 + -1y5) (x2(x2 + -1y5) + y5(x2 + -1y5)) = 0 ((x2 * x2 + -1y5 * x2) + y5(x2 + -1y5)) = 0 Reorder the terms: ((-1x2y5 + x4) + y5(x2 + -1y5)) = 0 ((-1x2y5 + x4) + y5(x2 + -1y5)) = 0 (-1x2y5 + x4 + (x2 * y5 + -1y5 * y5)) = 0 (-1x2y5 + x4 + (x2y5 + -1y10)) = 0 Reorder the terms: (-1x2y5 + x2y5 + x4 + -1y10) = 0 Combine like terms: -1x2y5 + x2y5 = 0 (0 + x4 + -1y10) = 0 (x4 + -1y10) = 0 Solving x4 + -1y10 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y10' to each side of the equation. x4 + -1y10 + y10 = 0 + y10 Combine like terms: -1y10 + y10 = 0 x4 + 0 = 0 + y10 x4 = 0 + y10 Remove the zero: x4 = y10 Simplifying x4 = y10 Combine like terms: y10 + -1y10 = 0 x4 + -1y10 = 0 Factor a difference between two squares. (x2 + y5)(x2 + -1y5) = 0Subproblem 1
Set the factor '(x2 + y5)' equal to zero and attempt to solve: Simplifying x2 + y5 = 0 Solving x2 + y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y5' to each side of the equation. x2 + y5 + -1y5 = 0 + -1y5 Combine like terms: y5 + -1y5 = 0 x2 + 0 = 0 + -1y5 x2 = 0 + -1y5 Remove the zero: x2 = -1y5 Simplifying x2 = -1y5 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 + -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. The solution to this equation could not be determined.
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