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Simplifying 6n + -1n2 = 40 Solving 6n + -1n2 = 40 Solving for variable 'n'. Reorder the terms: -40 + 6n + -1n2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 6n + -1n2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 40 + -6n + n2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -6n + -40 + n2 = 0 + -40 Reorder the terms: 40 + -40 + -6n + n2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -6n + n2 = 0 + -40 -6n + n2 = 0 + -40 Combine like terms: 0 + -40 = -40 -6n + n2 = -40 The n term is -6n. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6n + 9 + n2 = -40 + 9 Reorder the terms: 9 + -6n + n2 = -40 + 9 Combine like terms: -40 + 9 = -31 9 + -6n + n2 = -31 Factor a perfect square on the left side: (n + -3)(n + -3) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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