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Simplifying 2x2 + 5x + 12 = 0 Reorder the terms: 12 + 5x + 2x2 = 0 Solving 12 + 5x + 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'. 6 + 2.5x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + 2.5x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 2.5x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2.5x + x2 = 0 + -6 2.5x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 2.5x + x2 = -6 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = -6 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -6 + 1.5625 Combine like terms: -6 + 1.5625 = -4.4375 1.5625 + 2.5x + x2 = -4.4375 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = -4.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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