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Simplifying 7 + -2n = 8n(-4n) Remove parenthesis around (-4n) 7 + -2n = 8n * -4n Reorder the terms for easier multiplication: 7 + -2n = 8 * -4n * n Multiply 8 * -4 7 + -2n = -32n * n Multiply n * n 7 + -2n = -32n2 Solving 7 + -2n = -32n2 Solving for variable 'n'. Combine like terms: -32n2 + 32n2 = 0 7 + -2n + 32n2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.21875 + -0.0625n + n2 = 0 Move the constant term to the right: Add '-0.21875' to each side of the equation. 0.21875 + -0.0625n + -0.21875 + n2 = 0 + -0.21875 Reorder the terms: 0.21875 + -0.21875 + -0.0625n + n2 = 0 + -0.21875 Combine like terms: 0.21875 + -0.21875 = 0.00000 0.00000 + -0.0625n + n2 = 0 + -0.21875 -0.0625n + n2 = 0 + -0.21875 Combine like terms: 0 + -0.21875 = -0.21875 -0.0625n + n2 = -0.21875 The n term is -0.0625n. Take half its coefficient (-0.03125). Square it (0.0009765625) and add it to both sides. Add '0.0009765625' to each side of the equation. -0.0625n + 0.0009765625 + n2 = -0.21875 + 0.0009765625 Reorder the terms: 0.0009765625 + -0.0625n + n2 = -0.21875 + 0.0009765625 Combine like terms: -0.21875 + 0.0009765625 = -0.2177734375 0.0009765625 + -0.0625n + n2 = -0.2177734375 Factor a perfect square on the left side: (n + -0.03125)(n + -0.03125) = -0.2177734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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