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Simplifying 12n2 + 48n + 60 = 0 Reorder the terms: 60 + 48n + 12n2 = 0 Solving 60 + 48n + 12n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '12'. 12(5 + 4n + n2) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(5 + 4n + n2)' equal to zero and attempt to solve: Simplifying 5 + 4n + n2 = 0 Solving 5 + 4n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 4n + -5 + n2 = 0 + -5 Reorder the terms: 5 + -5 + 4n + n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4n + n2 = 0 + -5 4n + n2 = 0 + -5 Combine like terms: 0 + -5 = -5 4n + n2 = -5 The n term is 4n. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4n + 4 + n2 = -5 + 4 Reorder the terms: 4 + 4n + n2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + 4n + n2 = -1 Factor a perfect square on the left side: (n + 2)(n + 2) = -1 Can't calculate square root of the right side. 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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