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Simplifying -16n2 + 15n + -120 = 0 Reorder the terms: -120 + 15n + -16n2 = 0 Solving -120 + 15n + -16n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 7.5 + -0.9375n + n2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -0.9375n + -7.5 + n2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -0.9375n + n2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.9375n + n2 = 0 + -7.5 -0.9375n + n2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -0.9375n + n2 = -7.5 The n term is -0.9375n. Take half its coefficient (-0.46875). Square it (0.2197265625) and add it to both sides. Add '0.2197265625' to each side of the equation. -0.9375n + 0.2197265625 + n2 = -7.5 + 0.2197265625 Reorder the terms: 0.2197265625 + -0.9375n + n2 = -7.5 + 0.2197265625 Combine like terms: -7.5 + 0.2197265625 = -7.2802734375 0.2197265625 + -0.9375n + n2 = -7.2802734375 Factor a perfect square on the left side: (n + -0.46875)(n + -0.46875) = -7.2802734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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