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Simplifying 5n2 + -10n + 7 = 0 Reorder the terms: 7 + -10n + 5n2 = 0 Solving 7 + -10n + 5n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + -2n + n2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -2n + -1.4 + n2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -2n + n2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -2n + n2 = 0 + -1.4 -2n + n2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -2n + n2 = -1.4 The n term is -2n. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2n + 1 + n2 = -1.4 + 1 Reorder the terms: 1 + -2n + n2 = -1.4 + 1 Combine like terms: -1.4 + 1 = -0.4 1 + -2n + n2 = -0.4 Factor a perfect square on the left side: (n + -1)(n + -1) = -0.4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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