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Simplifying (x3 + y2)(x3 + -1y2) = 0 Multiply (x3 + y2) * (x3 + -1y2) (x3(x3 + -1y2) + y2(x3 + -1y2)) = 0 ((x3 * x3 + -1y2 * x3) + y2(x3 + -1y2)) = 0 Reorder the terms: ((-1x3y2 + x6) + y2(x3 + -1y2)) = 0 ((-1x3y2 + x6) + y2(x3 + -1y2)) = 0 (-1x3y2 + x6 + (x3 * y2 + -1y2 * y2)) = 0 (-1x3y2 + x6 + (x3y2 + -1y4)) = 0 Reorder the terms: (-1x3y2 + x3y2 + x6 + -1y4) = 0 Combine like terms: -1x3y2 + x3y2 = 0 (0 + x6 + -1y4) = 0 (x6 + -1y4) = 0 Solving x6 + -1y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y4' to each side of the equation. x6 + -1y4 + y4 = 0 + y4 Combine like terms: -1y4 + y4 = 0 x6 + 0 = 0 + y4 x6 = 0 + y4 Remove the zero: x6 = y4 Simplifying x6 = y4 Combine like terms: y4 + -1y4 = 0 x6 + -1y4 = 0 Factor a difference between two squares. (x3 + y2)(x3 + -1y2) = 0Subproblem 1
Set the factor '(x3 + y2)' equal to zero and attempt to solve: Simplifying x3 + y2 = 0 Solving x3 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. x3 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 x3 + 0 = 0 + -1y2 x3 = 0 + -1y2 Remove the zero: x3 = -1y2 Simplifying x3 = -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 '(x3 + -1y2)' equal to zero and attempt to solve: Simplifying x3 + -1y2 = 0 Solving x3 + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. x3 + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 x3 + 0 = 0 + y2 x3 = 0 + y2 Remove the zero: x3 = y2 Simplifying x3 = y2 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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