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Simplifying 2x(x + 7) = -35 Reorder the terms: 2x(7 + x) = -35 (7 * 2x + x * 2x) = -35 (14x + 2x2) = -35 Solving 14x + 2x2 = -35 Solving for variable 'x'. Reorder the terms: 35 + 14x + 2x2 = -35 + 35 Combine like terms: -35 + 35 = 0 35 + 14x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 17.5 + 7x + x2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + 7x + -17.5 + x2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + 7x + x2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 7x + x2 = 0 + -17.5 7x + x2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 7x + x2 = -17.5 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -17.5 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -17.5 + 12.25 Combine like terms: -17.5 + 12.25 = -5.25 12.25 + 7x + x2 = -5.25 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -5.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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