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Simplifying 3x6 + 27x3 = -60 Reorder the terms: 27x3 + 3x6 = -60 Solving 27x3 + 3x6 = -60 Solving for variable 'x'. Reorder the terms: 60 + 27x3 + 3x6 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + 27x3 + 3x6 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(20 + 9x3 + x6) = 0 Factor a trinomial. 3((5 + x3)(4 + x3)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + x3)' equal to zero and attempt to solve: Simplifying 5 + x3 = 0 Solving 5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x3 = 0 + -5 x3 = 0 + -5 Combine like terms: 0 + -5 = -5 x3 = -5 Simplifying x3 = -5 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 '(4 + x3)' equal to zero and attempt to solve: Simplifying 4 + x3 = 0 Solving 4 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x3 = 0 + -4 x3 = 0 + -4 Combine like terms: 0 + -4 = -4 x3 = -4 Simplifying x3 = -4 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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