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Simplifying n2 + -15n = -64 Reorder the terms: -15n + n2 = -64 Solving -15n + n2 = -64 Solving for variable 'n'. Reorder the terms: 64 + -15n + n2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + -15n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + -15n + -64 + n2 = 0 + -64 Reorder the terms: 64 + -64 + -15n + n2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -15n + n2 = 0 + -64 -15n + n2 = 0 + -64 Combine like terms: 0 + -64 = -64 -15n + n2 = -64 The n term is -15n. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15n + 56.25 + n2 = -64 + 56.25 Reorder the terms: 56.25 + -15n + n2 = -64 + 56.25 Combine like terms: -64 + 56.25 = -7.75 56.25 + -15n + n2 = -7.75 Factor a perfect square on the left side: (n + -7.5)(n + -7.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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