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Simplifying x2 + 10x + 25 = -63 Reorder the terms: 25 + 10x + x2 = -63 Solving 25 + 10x + x2 = -63 Solving for variable 'x'. Reorder the terms: 25 + 63 + 10x + x2 = -63 + 63 Combine like terms: 25 + 63 = 88 88 + 10x + x2 = -63 + 63 Combine like terms: -63 + 63 = 0 88 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-88' to each side of the equation. 88 + 10x + -88 + x2 = 0 + -88 Reorder the terms: 88 + -88 + 10x + x2 = 0 + -88 Combine like terms: 88 + -88 = 0 0 + 10x + x2 = 0 + -88 10x + x2 = 0 + -88 Combine like terms: 0 + -88 = -88 10x + x2 = -88 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 = -88 + 25 Reorder the terms: 25 + 10x + x2 = -88 + 25 Combine like terms: -88 + 25 = -63 25 + 10x + x2 = -63 Factor a perfect square on the left side: (x + 5)(x + 5) = -63 Can't calculate square root of the right side. The solution to this equation could not be determined.
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