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Simplifying 8x(y + 1)(y + 1) = 0 Reorder the terms: 8x(1 + y)(y + 1) = 0 Reorder the terms: 8x(1 + y)(1 + y) = 0 Multiply (1 + y) * (1 + y) 8x(1(1 + y) + y(1 + y)) = 0 8x((1 * 1 + y * 1) + y(1 + y)) = 0 8x((1 + 1y) + y(1 + y)) = 0 8x(1 + 1y + (1 * y + y * y)) = 0 8x(1 + 1y + (1y + y2)) = 0 Combine like terms: 1y + 1y = 2y 8x(1 + 2y + y2) = 0 (1 * 8x + 2y * 8x + y2 * 8x) = 0 (8x + 16xy + 8xy2) = 0 Solving 8x + 16xy + 8xy2 = 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), '8x'. 8x(1 + 2y + y2) = 0 Factor a trinomial. 8x((1 + y)(1 + y)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y 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 '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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