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Simplifying 10n2 + 6n + 7 = 4 Reorder the terms: 7 + 6n + 10n2 = 4 Solving 7 + 6n + 10n2 = 4 Solving for variable 'n'. Reorder the terms: 7 + -4 + 6n + 10n2 = 4 + -4 Combine like terms: 7 + -4 = 3 3 + 6n + 10n2 = 4 + -4 Combine like terms: 4 + -4 = 0 3 + 6n + 10n2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.3 + 0.6n + n2 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + 0.6n + -0.3 + n2 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + 0.6n + n2 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.6n + n2 = 0 + -0.3 0.6n + n2 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 0.6n + n2 = -0.3 The n term is 0.6n. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6n + 0.09 + n2 = -0.3 + 0.09 Reorder the terms: 0.09 + 0.6n + n2 = -0.3 + 0.09 Combine like terms: -0.3 + 0.09 = -0.21 0.09 + 0.6n + n2 = -0.21 Factor a perfect square on the left side: (n + 0.3)(n + 0.3) = -0.21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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