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Simplifying (x2 + -1y3)(x2 + y3)(x4 + y6) = 0 Multiply (x2 + -1y3) * (x2 + y3) (x2(x2 + y3) + -1y3 * (x2 + y3))(x4 + y6) = 0 ((x2 * x2 + y3 * x2) + -1y3 * (x2 + y3))(x4 + y6) = 0 Reorder the terms: ((x2y3 + x4) + -1y3 * (x2 + y3))(x4 + y6) = 0 ((x2y3 + x4) + -1y3 * (x2 + y3))(x4 + y6) = 0 (x2y3 + x4 + (x2 * -1y3 + y3 * -1y3))(x4 + y6) = 0 (x2y3 + x4 + (-1x2y3 + -1y6))(x4 + y6) = 0 Reorder the terms: (x2y3 + -1x2y3 + x4 + -1y6)(x4 + y6) = 0 Combine like terms: x2y3 + -1x2y3 = 0 (0 + x4 + -1y6)(x4 + y6) = 0 (x4 + -1y6)(x4 + y6) = 0 Multiply (x4 + -1y6) * (x4 + y6) (x4(x4 + y6) + -1y6 * (x4 + y6)) = 0 ((x4 * x4 + y6 * x4) + -1y6 * (x4 + y6)) = 0 Reorder the terms: ((x4y6 + x8) + -1y6 * (x4 + y6)) = 0 ((x4y6 + x8) + -1y6 * (x4 + y6)) = 0 (x4y6 + x8 + (x4 * -1y6 + y6 * -1y6)) = 0 (x4y6 + x8 + (-1x4y6 + -1y12)) = 0 Reorder the terms: (x4y6 + -1x4y6 + x8 + -1y12) = 0 Combine like terms: x4y6 + -1x4y6 = 0 (0 + x8 + -1y12) = 0 (x8 + -1y12) = 0 Solving x8 + -1y12 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y12' to each side of the equation. x8 + -1y12 + y12 = 0 + y12 Combine like terms: -1y12 + y12 = 0 x8 + 0 = 0 + y12 x8 = 0 + y12 Remove the zero: x8 = y12 Simplifying x8 = y12 Combine like terms: y12 + -1y12 = 0 x8 + -1y12 = 0 Factor a difference between two squares. (x4 + y6)(x4 + -1y6) = 0 Factor a difference between two squares. (x4 + y6)((x2 + y3)(x2 + -1y3)) = 0Subproblem 1
Set the factor '(x4 + y6)' equal to zero and attempt to solve: Simplifying x4 + y6 = 0 Solving x4 + y6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y6' to each side of the equation. x4 + y6 + -1y6 = 0 + -1y6 Combine like terms: y6 + -1y6 = 0 x4 + 0 = 0 + -1y6 x4 = 0 + -1y6 Remove the zero: x4 = -1y6 Simplifying x4 = -1y6 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 + y3)' equal to zero and attempt to solve: Simplifying x2 + y3 = 0 Solving x2 + y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y3' to each side of the equation. x2 + y3 + -1y3 = 0 + -1y3 Combine like terms: y3 + -1y3 = 0 x2 + 0 = 0 + -1y3 x2 = 0 + -1y3 Remove the zero: x2 = -1y3 Simplifying x2 = -1y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(x2 + -1y3)' equal to zero and attempt to solve: Simplifying x2 + -1y3 = 0 Solving x2 + -1y3 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y3' to each side of the equation. x2 + -1y3 + y3 = 0 + y3 Combine like terms: -1y3 + y3 = 0 x2 + 0 = 0 + y3 x2 = 0 + y3 Remove the zero: x2 = y3 Simplifying x2 = y3 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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