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Simplifying 8n2 + -1n + 7 = -3 Reorder the terms: 7 + -1n + 8n2 = -3 Solving 7 + -1n + 8n2 = -3 Solving for variable 'n'. Reorder the terms: 7 + 3 + -1n + 8n2 = -3 + 3 Combine like terms: 7 + 3 = 10 10 + -1n + 8n2 = -3 + 3 Combine like terms: -3 + 3 = 0 10 + -1n + 8n2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.25 + -0.125n + n2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.125n + -1.25 + n2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.125n + n2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.125n + n2 = 0 + -1.25 -0.125n + n2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.125n + n2 = -1.25 The n term is -0.125n. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125n + 0.00390625 + n2 = -1.25 + 0.00390625 Reorder the terms: 0.00390625 + -0.125n + n2 = -1.25 + 0.00390625 Combine like terms: -1.25 + 0.00390625 = -1.24609375 0.00390625 + -0.125n + n2 = -1.24609375 Factor a perfect square on the left side: (n + -0.0625)(n + -0.0625) = -1.24609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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