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Simplifying (2x2 + 7x + 10) + 14 = 0 Reorder the terms: (10 + 7x + 2x2) + 14 = 0 Remove parenthesis around (10 + 7x + 2x2) 10 + 7x + 2x2 + 14 = 0 Reorder the terms: 10 + 14 + 7x + 2x2 = 0 Combine like terms: 10 + 14 = 24 24 + 7x + 2x2 = 0 Solving 24 + 7x + 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'. 12 + 3.5x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 3.5x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 3.5x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3.5x + x2 = 0 + -12 3.5x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 3.5x + x2 = -12 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -12 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -12 + 3.0625 Combine like terms: -12 + 3.0625 = -8.9375 3.0625 + 3.5x + x2 = -8.9375 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = -8.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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