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Simplifying (9 + -6x3)(6x3 + 9)(81 + 36x6) = 0 Reorder the terms: (9 + -6x3)(9 + 6x3)(81 + 36x6) = 0 Multiply (9 + -6x3) * (9 + 6x3) (9(9 + 6x3) + -6x3 * (9 + 6x3))(81 + 36x6) = 0 ((9 * 9 + 6x3 * 9) + -6x3 * (9 + 6x3))(81 + 36x6) = 0 ((81 + 54x3) + -6x3 * (9 + 6x3))(81 + 36x6) = 0 (81 + 54x3 + (9 * -6x3 + 6x3 * -6x3))(81 + 36x6) = 0 (81 + 54x3 + (-54x3 + -36x6))(81 + 36x6) = 0 Combine like terms: 54x3 + -54x3 = 0 (81 + 0 + -36x6)(81 + 36x6) = 0 (81 + -36x6)(81 + 36x6) = 0 Multiply (81 + -36x6) * (81 + 36x6) (81(81 + 36x6) + -36x6 * (81 + 36x6)) = 0 ((81 * 81 + 36x6 * 81) + -36x6 * (81 + 36x6)) = 0 ((6561 + 2916x6) + -36x6 * (81 + 36x6)) = 0 (6561 + 2916x6 + (81 * -36x6 + 36x6 * -36x6)) = 0 (6561 + 2916x6 + (-2916x6 + -1296x12)) = 0 Combine like terms: 2916x6 + -2916x6 = 0 (6561 + 0 + -1296x12) = 0 (6561 + -1296x12) = 0 Solving 6561 + -1296x12 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6561' to each side of the equation. 6561 + -6561 + -1296x12 = 0 + -6561 Combine like terms: 6561 + -6561 = 0 0 + -1296x12 = 0 + -6561 -1296x12 = 0 + -6561 Combine like terms: 0 + -6561 = -6561 -1296x12 = -6561 Divide each side by '-1296'. x12 = 5.0625 Simplifying x12 = 5.0625 Reorder the terms: -5.0625 + x12 = 5.0625 + -5.0625 Combine like terms: 5.0625 + -5.0625 = 0.0000 -5.0625 + x12 = 0.0000 Factor a difference between two squares. (2.25 + x6)(-2.25 + x6) = 0.0000 Factor a difference between two squares. (2.25 + x6)((1.5 + x3)(-1.5 + x3)) = 0.0000Subproblem 1
Set the factor '(2.25 + x6)' equal to zero and attempt to solve: Simplifying 2.25 + x6 = 0 Solving 2.25 + x6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x6 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x6 = 0 + -2.25 x6 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 x6 = -2.25 Simplifying x6 = -2.25 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 '(1.5 + x3)' equal to zero and attempt to solve: Simplifying 1.5 + x3 = 0 Solving 1.5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x3 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x3 = 0 + -1.5 x3 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 x3 = -1.5 Simplifying x3 = -1.5 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 '(-1.5 + x3)' equal to zero and attempt to solve: Simplifying -1.5 + x3 = 0 Solving -1.5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x3 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x3 = 0 + 1.5 x3 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 x3 = 1.5 Simplifying x3 = 1.5 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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