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Simplifying 4x6 + 21x3 + 27 = 0 Reorder the terms: 27 + 21x3 + 4x6 = 0 Solving 27 + 21x3 + 4x6 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x3)(9 + 4x3) = 0Subproblem 1
Set the factor '(3 + x3)' equal to zero and attempt to solve: Simplifying 3 + x3 = 0 Solving 3 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x3 = 0 + -3 x3 = 0 + -3 Combine like terms: 0 + -3 = -3 x3 = -3 Simplifying x3 = -3 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 '(9 + 4x3)' equal to zero and attempt to solve: Simplifying 9 + 4x3 = 0 Solving 9 + 4x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x3 = 0 + -9 4x3 = 0 + -9 Combine like terms: 0 + -9 = -9 4x3 = -9 Divide each side by '4'. x3 = -2.25 Simplifying x3 = -2.25 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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