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Simplifying x2 + 5x + 14 = -10 Reorder the terms: 14 + 5x + x2 = -10 Solving 14 + 5x + x2 = -10 Solving for variable 'x'. Reorder the terms: 14 + 10 + 5x + x2 = -10 + 10 Combine like terms: 14 + 10 = 24 24 + 5x + x2 = -10 + 10 Combine like terms: -10 + 10 = 0 24 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 5x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + 5x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5x + x2 = 0 + -24 5x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 5x + x2 = -24 The x term is 5x. 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. 5x + 6.25 + x2 = -24 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -24 + 6.25 Combine like terms: -24 + 6.25 = -17.75 6.25 + 5x + x2 = -17.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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