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Simplifying (3 + -1x2)(9 + 3x2 + x4)(27 + x6) = 0 Multiply (3 + -1x2) * (9 + 3x2 + x4) (3(9 + 3x2 + x4) + -1x2 * (9 + 3x2 + x4))(27 + x6) = 0 ((9 * 3 + 3x2 * 3 + x4 * 3) + -1x2 * (9 + 3x2 + x4))(27 + x6) = 0 ((27 + 9x2 + 3x4) + -1x2 * (9 + 3x2 + x4))(27 + x6) = 0 (27 + 9x2 + 3x4 + (9 * -1x2 + 3x2 * -1x2 + x4 * -1x2))(27 + x6) = 0 (27 + 9x2 + 3x4 + (-9x2 + -3x4 + -1x6))(27 + x6) = 0 Reorder the terms: (27 + 9x2 + -9x2 + 3x4 + -3x4 + -1x6)(27 + x6) = 0 Combine like terms: 9x2 + -9x2 = 0 (27 + 0 + 3x4 + -3x4 + -1x6)(27 + x6) = 0 (27 + 3x4 + -3x4 + -1x6)(27 + x6) = 0 Combine like terms: 3x4 + -3x4 = 0 (27 + 0 + -1x6)(27 + x6) = 0 (27 + -1x6)(27 + x6) = 0 Multiply (27 + -1x6) * (27 + x6) (27(27 + x6) + -1x6 * (27 + x6)) = 0 ((27 * 27 + x6 * 27) + -1x6 * (27 + x6)) = 0 ((729 + 27x6) + -1x6 * (27 + x6)) = 0 (729 + 27x6 + (27 * -1x6 + x6 * -1x6)) = 0 (729 + 27x6 + (-27x6 + -1x12)) = 0 Combine like terms: 27x6 + -27x6 = 0 (729 + 0 + -1x12) = 0 (729 + -1x12) = 0 Solving 729 + -1x12 = 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 + -1x12 = 0 + -729 Combine like terms: 729 + -729 = 0 0 + -1x12 = 0 + -729 -1x12 = 0 + -729 Combine like terms: 0 + -729 = -729 -1x12 = -729 Divide each side by '-1'. x12 = 729 Simplifying x12 = 729 Reorder the terms: -729 + x12 = 729 + -729 Combine like terms: 729 + -729 = 0 -729 + x12 = 0 Factor a difference between two squares. (27 + x6)(-27 + x6) = 0Subproblem 1
Set the factor '(27 + x6)' equal to zero and attempt to solve: Simplifying 27 + x6 = 0 Solving 27 + x6 = 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 + x6 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x6 = 0 + -27 x6 = 0 + -27 Combine like terms: 0 + -27 = -27 x6 = -27 Simplifying x6 = -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 + x6)' equal to zero and attempt to solve: Simplifying -27 + x6 = 0 Solving -27 + x6 = 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 + x6 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x6 = 0 + 27 x6 = 0 + 27 Combine like terms: 0 + 27 = 27 x6 = 27 Simplifying x6 = 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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