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Simplifying x2 + 10x + 25 = -3 Reorder the terms: 25 + 10x + x2 = -3 Solving 25 + 10x + x2 = -3 Solving for variable 'x'. Reorder the terms: 25 + 3 + 10x + x2 = -3 + 3 Combine like terms: 25 + 3 = 28 28 + 10x + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 28 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 10x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + 10x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 10x + x2 = 0 + -28 10x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 10x + x2 = -28 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -28 + 25 Reorder the terms: 25 + 10x + x2 = -28 + 25 Combine like terms: -28 + 25 = -3 25 + 10x + x2 = -3 Factor a perfect square on the left side: (x + 5)(x + 5) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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