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Simplifying 2x2 + -5x + 6 = -24 Reorder the terms: 6 + -5x + 2x2 = -24 Solving 6 + -5x + 2x2 = -24 Solving for variable 'x'. Reorder the terms: 6 + 24 + -5x + 2x2 = -24 + 24 Combine like terms: 6 + 24 = 30 30 + -5x + 2x2 = -24 + 24 Combine like terms: -24 + 24 = 0 30 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 15 + -2.5x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -2.5x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -2.5x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2.5x + x2 = 0 + -15 -2.5x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -2.5x + x2 = -15 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 = -15 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -15 + 1.5625 Combine like terms: -15 + 1.5625 = -13.4375 1.5625 + -2.5x + x2 = -13.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -13.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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