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Simplifying (2x2 + 20x + 100) + 93 = 0 Reorder the terms: (100 + 20x + 2x2) + 93 = 0 Remove parenthesis around (100 + 20x + 2x2) 100 + 20x + 2x2 + 93 = 0 Reorder the terms: 100 + 93 + 20x + 2x2 = 0 Combine like terms: 100 + 93 = 193 193 + 20x + 2x2 = 0 Solving 193 + 20x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 96.5 + 10x + x2 = 0 Move the constant term to the right: Add '-96.5' to each side of the equation. 96.5 + 10x + -96.5 + x2 = 0 + -96.5 Reorder the terms: 96.5 + -96.5 + 10x + x2 = 0 + -96.5 Combine like terms: 96.5 + -96.5 = 0.0 0.0 + 10x + x2 = 0 + -96.5 10x + x2 = 0 + -96.5 Combine like terms: 0 + -96.5 = -96.5 10x + x2 = -96.5 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 = -96.5 + 25 Reorder the terms: 25 + 10x + x2 = -96.5 + 25 Combine like terms: -96.5 + 25 = -71.5 25 + 10x + x2 = -71.5 Factor a perfect square on the left side: (x + 5)(x + 5) = -71.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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