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Simplifying 5n + -0.4n2 = 30 Solving 5n + -0.4n2 = 30 Solving for variable 'n'. Reorder the terms: -30 + 5n + -0.4n2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 5n + -0.4n2 = 0 Begin completing the square. Divide all terms by -0.4 the coefficient of the squared term: Divide each side by '-0.4'. 75 + -12.5n + n2 = 0 Move the constant term to the right: Add '-75' to each side of the equation. 75 + -12.5n + -75 + n2 = 0 + -75 Reorder the terms: 75 + -75 + -12.5n + n2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -12.5n + n2 = 0 + -75 -12.5n + n2 = 0 + -75 Combine like terms: 0 + -75 = -75 -12.5n + n2 = -75 The n term is -12.5n. Take half its coefficient (-6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. -12.5n + 39.0625 + n2 = -75 + 39.0625 Reorder the terms: 39.0625 + -12.5n + n2 = -75 + 39.0625 Combine like terms: -75 + 39.0625 = -35.9375 39.0625 + -12.5n + n2 = -35.9375 Factor a perfect square on the left side: (n + -6.25)(n + -6.25) = -35.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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