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Simplifying (x + yx)(x + yx)(x + yx) = 0 Multiply (x + xy) * (x + xy) (x(x + xy) + xy(x + xy))(x + xy) = 0 ((x * x + xy * x) + xy(x + xy))(x + xy) = 0 ((x2 + x2y) + xy(x + xy))(x + xy) = 0 (x2 + x2y + (x * xy + xy * xy))(x + xy) = 0 (x2 + x2y + (x2y + x2y2))(x + xy) = 0 Combine like terms: x2y + x2y = 2x2y (x2 + 2x2y + x2y2)(x + xy) = 0 Multiply (x2 + 2x2y + x2y2) * (x + xy) (x2(x + xy) + 2x2y * (x + xy) + x2y2(x + xy)) = 0 ((x * x2 + xy * x2) + 2x2y * (x + xy) + x2y2(x + xy)) = 0 ((x3 + x3y) + 2x2y * (x + xy) + x2y2(x + xy)) = 0 (x3 + x3y + (x * 2x2y + xy * 2x2y) + x2y2(x + xy)) = 0 (x3 + x3y + (2x3y + 2x3y2) + x2y2(x + xy)) = 0 (x3 + x3y + 2x3y + 2x3y2 + (x * x2y2 + xy * x2y2)) = 0 (x3 + x3y + 2x3y + 2x3y2 + (x3y2 + x3y3)) = 0 Combine like terms: x3y + 2x3y = 3x3y (x3 + 3x3y + 2x3y2 + x3y2 + x3y3) = 0 Combine like terms: 2x3y2 + x3y2 = 3x3y2 (x3 + 3x3y + 3x3y2 + x3y3) = 0 Solving x3 + 3x3y + 3x3y2 + x3y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x3'. x3(1 + 3y + 3y2 + y3) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 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 '(1 + 3y + 3y2 + y3)' equal to zero and attempt to solve: Simplifying 1 + 3y + 3y2 + y3 = 0 Solving 1 + 3y + 3y2 + y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3y + 3y2 + -1 + y3 = 0 + -1 Reorder the terms: 1 + -1 + 3y + 3y2 + y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y + 3y2 + y3 = 0 + -1 3y + 3y2 + y3 = 0 + -1 Combine like terms: 0 + -1 = -1 3y + 3y2 + y3 = -1 Add '-3y' to each side of the equation. 3y + 3y2 + -3y + y3 = -1 + -3y Reorder the terms: 3y + -3y + 3y2 + y3 = -1 + -3y Combine like terms: 3y + -3y = 0 0 + 3y2 + y3 = -1 + -3y 3y2 + y3 = -1 + -3y Add '-3y2' to each side of the equation. 3y2 + -3y2 + y3 = -1 + -3y + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 + y3 = -1 + -3y + -3y2 y3 = -1 + -3y + -3y2 Add '-1y3' to each side of the equation. y3 + -1y3 = -1 + -3y + -3y2 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -1 + -3y + -3y2 + -1y3 Simplifying 0 = -1 + -3y + -3y2 + -1y3 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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