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Simplifying 22.5 + 7(n + -3.4) * n = 0 Reorder the terms: 22.5 + 7(-3.4 + n) * n = 0 Reorder the terms for easier multiplication: 22.5 + 7n(-3.4 + n) = 0 22.5 + (-3.4 * 7n + n * 7n) = 0 22.5 + (-23.8n + 7n2) = 0 Solving 22.5 + -23.8n + 7n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.214285714 + -3.4n + n2 = 0 Move the constant term to the right: Add '-3.214285714' to each side of the equation. 3.214285714 + -3.4n + -3.214285714 + n2 = 0 + -3.214285714 Reorder the terms: 3.214285714 + -3.214285714 + -3.4n + n2 = 0 + -3.214285714 Combine like terms: 3.214285714 + -3.214285714 = 0.000000000 0.000000000 + -3.4n + n2 = 0 + -3.214285714 -3.4n + n2 = 0 + -3.214285714 Combine like terms: 0 + -3.214285714 = -3.214285714 -3.4n + n2 = -3.214285714 The n term is -3.4n. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4n + 2.89 + n2 = -3.214285714 + 2.89 Reorder the terms: 2.89 + -3.4n + n2 = -3.214285714 + 2.89 Combine like terms: -3.214285714 + 2.89 = -0.324285714 2.89 + -3.4n + n2 = -0.324285714 Factor a perfect square on the left side: (n + -1.7)(n + -1.7) = -0.324285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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