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Simplifying x2 + 15x + 57 = 0 Reorder the terms: 57 + 15x + x2 = 0 Solving 57 + 15x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-57' to each side of the equation. 57 + 15x + -57 + x2 = 0 + -57 Reorder the terms: 57 + -57 + 15x + x2 = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 15x + x2 = 0 + -57 15x + x2 = 0 + -57 Combine like terms: 0 + -57 = -57 15x + x2 = -57 The x term is 15x. 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. 15x + 56.25 + x2 = -57 + 56.25 Reorder the terms: 56.25 + 15x + x2 = -57 + 56.25 Combine like terms: -57 + 56.25 = -0.75 56.25 + 15x + x2 = -0.75 Factor a perfect square on the left side: (x + 7.5)(x + 7.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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