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Simplifying X(x + 3)(x + 3)(x + 3) = 0 Reorder the terms: X(3 + x)(x + 3)(x + 3) = 0 Reorder the terms: X(3 + x)(3 + x)(x + 3) = 0 Reorder the terms: X(3 + x)(3 + x)(3 + x) = 0 Multiply (3 + x) * (3 + x) X(3(3 + x) + x(3 + x))(3 + x) = 0 X((3 * 3 + x * 3) + x(3 + x))(3 + x) = 0 X((9 + 3x) + x(3 + x))(3 + x) = 0 X(9 + 3x + (3 * x + x * x))(3 + x) = 0 X(9 + 3x + (3x + x2))(3 + x) = 0 Combine like terms: 3x + 3x = 6x X(9 + 6x + x2)(3 + x) = 0 Multiply (9 + 6x + x2) * (3 + x) X(9(3 + x) + 6x * (3 + x) + x2(3 + x)) = 0 X((3 * 9 + x * 9) + 6x * (3 + x) + x2(3 + x)) = 0 X((27 + 9x) + 6x * (3 + x) + x2(3 + x)) = 0 X(27 + 9x + (3 * 6x + x * 6x) + x2(3 + x)) = 0 X(27 + 9x + (18x + 6x2) + x2(3 + x)) = 0 X(27 + 9x + 18x + 6x2 + (3 * x2 + x * x2)) = 0 X(27 + 9x + 18x + 6x2 + (3x2 + x3)) = 0 Combine like terms: 9x + 18x = 27x X(27 + 27x + 6x2 + 3x2 + x3) = 0 Combine like terms: 6x2 + 3x2 = 9x2 X(27 + 27x + 9x2 + x3) = 0 (27 * X + 27x * X + 9x2 * X + x3 * X) = 0 (27X + 27xX + 9x2X + x3X) = 0 Solving 27X + 27xX + 9x2X + x3X = 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), 'X'. X(27 + 27x + 9x2 + x3) = 0Subproblem 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 '(27 + 27x + 9x2 + x3)' equal to zero and attempt to solve: Simplifying 27 + 27x + 9x2 + x3 = 0 Solving 27 + 27x + 9x2 + 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 + 27x + 9x2 + -27 + x3 = 0 + -27 Reorder the terms: 27 + -27 + 27x + 9x2 + x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 27x + 9x2 + x3 = 0 + -27 27x + 9x2 + x3 = 0 + -27 Combine like terms: 0 + -27 = -27 27x + 9x2 + x3 = -27 Add '-27x' to each side of the equation. 27x + 9x2 + -27x + x3 = -27 + -27x Reorder the terms: 27x + -27x + 9x2 + x3 = -27 + -27x Combine like terms: 27x + -27x = 0 0 + 9x2 + x3 = -27 + -27x 9x2 + x3 = -27 + -27x Add '-9x2' to each side of the equation. 9x2 + -9x2 + x3 = -27 + -27x + -9x2 Combine like terms: 9x2 + -9x2 = 0 0 + x3 = -27 + -27x + -9x2 x3 = -27 + -27x + -9x2 Add '-1x3' to each side of the equation. x3 + -1x3 = -27 + -27x + -9x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = -27 + -27x + -9x2 + -1x3 Simplifying 0 = -27 + -27x + -9x2 + -1x3 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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