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Simplifying 5n2 + -3n + 17 = 7 Reorder the terms: 17 + -3n + 5n2 = 7 Solving 17 + -3n + 5n2 = 7 Solving for variable 'n'. Reorder the terms: 17 + -7 + -3n + 5n2 = 7 + -7 Combine like terms: 17 + -7 = 10 10 + -3n + 5n2 = 7 + -7 Combine like terms: 7 + -7 = 0 10 + -3n + 5n2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + -0.6n + n2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.6n + -2 + n2 = 0 + -2 Reorder the terms: 2 + -2 + -0.6n + n2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.6n + n2 = 0 + -2 -0.6n + n2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.6n + n2 = -2 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 = -2 + 0.09 Reorder the terms: 0.09 + -0.6n + n2 = -2 + 0.09 Combine like terms: -2 + 0.09 = -1.91 0.09 + -0.6n + n2 = -1.91 Factor a perfect square on the left side: (n + -0.3)(n + -0.3) = -1.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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