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Simplifying (2n2) + -4n + 6 = 0 Reorder the terms: 6 + -4n + (2n2) = 0 Solving 6 + -4n + (2n2) = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -2n + n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -2n + n2)' equal to zero and attempt to solve: Simplifying 3 + -2n + n2 = 0 Solving 3 + -2n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2n + -3 + n2 = 0 + -3 Reorder the terms: 3 + -3 + -2n + n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2n + n2 = 0 + -3 -2n + n2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2n + n2 = -3 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 = -3 + 1 Reorder the terms: 1 + -2n + n2 = -3 + 1 Combine like terms: -3 + 1 = -2 1 + -2n + n2 = -2 Factor a perfect square on the left side: (n + -1)(n + -1) = -2 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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