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Simplifying (x + 3)(x2 + -3x + 9)(x3 + -27) = 0 Reorder the terms: (3 + x)(x2 + -3x + 9)(x3 + -27) = 0 Reorder the terms: (3 + x)(9 + -3x + x2)(x3 + -27) = 0 Reorder the terms: (3 + x)(9 + -3x + x2)(-27 + x3) = 0 Multiply (3 + x) * (9 + -3x + x2) (3(9 + -3x + x2) + x(9 + -3x + x2))(-27 + x3) = 0 ((9 * 3 + -3x * 3 + x2 * 3) + x(9 + -3x + x2))(-27 + x3) = 0 ((27 + -9x + 3x2) + x(9 + -3x + x2))(-27 + x3) = 0 (27 + -9x + 3x2 + (9 * x + -3x * x + x2 * x))(-27 + x3) = 0 (27 + -9x + 3x2 + (9x + -3x2 + x3))(-27 + x3) = 0 Reorder the terms: (27 + -9x + 9x + 3x2 + -3x2 + x3)(-27 + x3) = 0 Combine like terms: -9x + 9x = 0 (27 + 0 + 3x2 + -3x2 + x3)(-27 + x3) = 0 (27 + 3x2 + -3x2 + x3)(-27 + x3) = 0 Combine like terms: 3x2 + -3x2 = 0 (27 + 0 + x3)(-27 + x3) = 0 (27 + x3)(-27 + x3) = 0 Multiply (27 + x3) * (-27 + x3) (27(-27 + x3) + x3(-27 + x3)) = 0 ((-27 * 27 + x3 * 27) + x3(-27 + x3)) = 0 ((-729 + 27x3) + x3(-27 + x3)) = 0 (-729 + 27x3 + (-27 * x3 + x3 * x3)) = 0 (-729 + 27x3 + (-27x3 + x6)) = 0 Combine like terms: 27x3 + -27x3 = 0 (-729 + 0 + x6) = 0 (-729 + x6) = 0 Solving -729 + x6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '729' to each side of the equation. -729 + 729 + x6 = 0 + 729 Combine like terms: -729 + 729 = 0 0 + x6 = 0 + 729 x6 = 0 + 729 Combine like terms: 0 + 729 = 729 x6 = 729 Simplifying x6 = 729 Reorder the terms: -729 + x6 = 729 + -729 Combine like terms: 729 + -729 = 0 -729 + x6 = 0 Factor a difference between two squares. (27 + x3)(-27 + x3) = 0Subproblem 1
Set the factor '(27 + x3)' equal to zero and attempt to solve: Simplifying 27 + x3 = 0 Solving 27 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x3 = 0 + -27 x3 = 0 + -27 Combine like terms: 0 + -27 = -27 x3 = -27 Simplifying x3 = -27 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 '(-27 + x3)' equal to zero and attempt to solve: Simplifying -27 + x3 = 0 Solving -27 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x3 = 0 + 27 x3 = 0 + 27 Combine like terms: 0 + 27 = 27 x3 = 27 Simplifying x3 = 27 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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