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Simplifying 6n2 + -12n + 48 = 0 Reorder the terms: 48 + -12n + 6n2 = 0 Solving 48 + -12n + 6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6'. 6(8 + -2n + n2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(8 + -2n + n2)' equal to zero and attempt to solve: Simplifying 8 + -2n + n2 = 0 Solving 8 + -2n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2n + -8 + n2 = 0 + -8 Reorder the terms: 8 + -8 + -2n + n2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2n + n2 = 0 + -8 -2n + n2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2n + n2 = -8 The n term is -2n. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2n + 1 + n2 = -8 + 1 Reorder the terms: 1 + -2n + n2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2n + n2 = -7 Factor a perfect square on the left side: (n + -1)(n + -1) = -7 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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