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Simplifying x2 + -10x + 25 = -49 Reorder the terms: 25 + -10x + x2 = -49 Solving 25 + -10x + x2 = -49 Solving for variable 'x'. Reorder the terms: 25 + 49 + -10x + x2 = -49 + 49 Combine like terms: 25 + 49 = 74 74 + -10x + x2 = -49 + 49 Combine like terms: -49 + 49 = 0 74 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + -10x + -74 + x2 = 0 + -74 Reorder the terms: 74 + -74 + -10x + x2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -10x + x2 = 0 + -74 -10x + x2 = 0 + -74 Combine like terms: 0 + -74 = -74 -10x + x2 = -74 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 = -74 + 25 Reorder the terms: 25 + -10x + x2 = -74 + 25 Combine like terms: -74 + 25 = -49 25 + -10x + x2 = -49 Factor a perfect square on the left side: (x + -5)(x + -5) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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