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Simplifying x2 + 10x + 25 + -2 = -194 Reorder the terms: 25 + -2 + 10x + x2 = -194 Combine like terms: 25 + -2 = 23 23 + 10x + x2 = -194 Solving 23 + 10x + x2 = -194 Solving for variable 'x'. Reorder the terms: 23 + 194 + 10x + x2 = -194 + 194 Combine like terms: 23 + 194 = 217 217 + 10x + x2 = -194 + 194 Combine like terms: -194 + 194 = 0 217 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-217' to each side of the equation. 217 + 10x + -217 + x2 = 0 + -217 Reorder the terms: 217 + -217 + 10x + x2 = 0 + -217 Combine like terms: 217 + -217 = 0 0 + 10x + x2 = 0 + -217 10x + x2 = 0 + -217 Combine like terms: 0 + -217 = -217 10x + x2 = -217 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 = -217 + 25 Reorder the terms: 25 + 10x + x2 = -217 + 25 Combine like terms: -217 + 25 = -192 25 + 10x + x2 = -192 Factor a perfect square on the left side: (x + 5)(x + 5) = -192 Can't calculate square root of the right side. The solution to this equation could not be determined.
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