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Simplifying (8n2 + -5n + 1) + (9n2 + -7n + 2) = 0 Reorder the terms: (1 + -5n + 8n2) + (9n2 + -7n + 2) = 0 Remove parenthesis around (1 + -5n + 8n2) 1 + -5n + 8n2 + (9n2 + -7n + 2) = 0 Reorder the terms: 1 + -5n + 8n2 + (2 + -7n + 9n2) = 0 Remove parenthesis around (2 + -7n + 9n2) 1 + -5n + 8n2 + 2 + -7n + 9n2 = 0 Reorder the terms: 1 + 2 + -5n + -7n + 8n2 + 9n2 = 0 Combine like terms: 1 + 2 = 3 3 + -5n + -7n + 8n2 + 9n2 = 0 Combine like terms: -5n + -7n = -12n 3 + -12n + 8n2 + 9n2 = 0 Combine like terms: 8n2 + 9n2 = 17n2 3 + -12n + 17n2 = 0 Solving 3 + -12n + 17n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.1764705882 + -0.7058823529n + n2 = 0 Move the constant term to the right: Add '-0.1764705882' to each side of the equation. 0.1764705882 + -0.7058823529n + -0.1764705882 + n2 = 0 + -0.1764705882 Reorder the terms: 0.1764705882 + -0.1764705882 + -0.7058823529n + n2 = 0 + -0.1764705882 Combine like terms: 0.1764705882 + -0.1764705882 = 0.0000000000 0.0000000000 + -0.7058823529n + n2 = 0 + -0.1764705882 -0.7058823529n + n2 = 0 + -0.1764705882 Combine like terms: 0 + -0.1764705882 = -0.1764705882 -0.7058823529n + n2 = -0.1764705882 The n term is -0.7058823529n. Take half its coefficient (-0.3529411765). Square it (0.1245674741) and add it to both sides. Add '0.1245674741' to each side of the equation. -0.7058823529n + 0.1245674741 + n2 = -0.1764705882 + 0.1245674741 Reorder the terms: 0.1245674741 + -0.7058823529n + n2 = -0.1764705882 + 0.1245674741 Combine like terms: -0.1764705882 + 0.1245674741 = -0.0519031141 0.1245674741 + -0.7058823529n + n2 = -0.0519031141 Factor a perfect square on the left side: (n + -0.3529411765)(n + -0.3529411765) = -0.0519031141 Can't calculate square root of the right side. The solution to this equation could not be determined.
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