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Simplifying 19 + -1n(-5 + -1n) = -10 19 + (-5 * -1n + -1n * -1n) = -10 19 + (5n + 1n2) = -10 Solving 19 + 5n + 1n2 = -10 Solving for variable 'n'. Reorder the terms: 19 + 10 + 5n + 1n2 = -10 + 10 Combine like terms: 19 + 10 = 29 29 + 5n + 1n2 = -10 + 10 Combine like terms: -10 + 10 = 0 29 + 5n + 1n2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 5n + -29 + n2 = 0 + -29 Reorder the terms: 29 + -29 + 5n + n2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 5n + n2 = 0 + -29 5n + n2 = 0 + -29 Combine like terms: 0 + -29 = -29 5n + n2 = -29 The n term is 5n. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5n + 6.25 + n2 = -29 + 6.25 Reorder the terms: 6.25 + 5n + n2 = -29 + 6.25 Combine like terms: -29 + 6.25 = -22.75 6.25 + 5n + n2 = -22.75 Factor a perfect square on the left side: (n + 2.5)(n + 2.5) = -22.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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