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Simplifying 2n2 + -20n = -176 Reorder the terms: -20n + 2n2 = -176 Solving -20n + 2n2 = -176 Solving for variable 'n'. Reorder the terms: 176 + -20n + 2n2 = -176 + 176 Combine like terms: -176 + 176 = 0 176 + -20n + 2n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(88 + -10n + n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(88 + -10n + n2)' equal to zero and attempt to solve: Simplifying 88 + -10n + n2 = 0 Solving 88 + -10n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-88' to each side of the equation. 88 + -10n + -88 + n2 = 0 + -88 Reorder the terms: 88 + -88 + -10n + n2 = 0 + -88 Combine like terms: 88 + -88 = 0 0 + -10n + n2 = 0 + -88 -10n + n2 = 0 + -88 Combine like terms: 0 + -88 = -88 -10n + n2 = -88 The n term is -10n. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10n + 25 + n2 = -88 + 25 Reorder the terms: 25 + -10n + n2 = -88 + 25 Combine like terms: -88 + 25 = -63 25 + -10n + n2 = -63 Factor a perfect square on the left side: (n + -5)(n + -5) = -63 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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