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Simplifying (-8n2 + 7n + -5) + -1(6n + 2) = 0 Reorder the terms: (-5 + 7n + -8n2) + -1(6n + 2) = 0 Remove parenthesis around (-5 + 7n + -8n2) -5 + 7n + -8n2 + -1(6n + 2) = 0 Reorder the terms: -5 + 7n + -8n2 + -1(2 + 6n) = 0 -5 + 7n + -8n2 + (2 * -1 + 6n * -1) = 0 -5 + 7n + -8n2 + (-2 + -6n) = 0 Reorder the terms: -5 + -2 + 7n + -6n + -8n2 = 0 Combine like terms: -5 + -2 = -7 -7 + 7n + -6n + -8n2 = 0 Combine like terms: 7n + -6n = 1n -7 + 1n + -8n2 = 0 Solving -7 + 1n + -8n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.875 + -0.125n + n2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.125n + -0.875 + n2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.125n + n2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.125n + n2 = 0 + -0.875 -0.125n + n2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.125n + n2 = -0.875 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 = -0.875 + 0.00390625 Reorder the terms: 0.00390625 + -0.125n + n2 = -0.875 + 0.00390625 Combine like terms: -0.875 + 0.00390625 = -0.87109375 0.00390625 + -0.125n + n2 = -0.87109375 Factor a perfect square on the left side: (n + -0.0625)(n + -0.0625) = -0.87109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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