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Simplifying 2x2 + 15x + 47 = 0 Reorder the terms: 47 + 15x + 2x2 = 0 Solving 47 + 15x + 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'. 23.5 + 7.5x + x2 = 0 Move the constant term to the right: Add '-23.5' to each side of the equation. 23.5 + 7.5x + -23.5 + x2 = 0 + -23.5 Reorder the terms: 23.5 + -23.5 + 7.5x + x2 = 0 + -23.5 Combine like terms: 23.5 + -23.5 = 0.0 0.0 + 7.5x + x2 = 0 + -23.5 7.5x + x2 = 0 + -23.5 Combine like terms: 0 + -23.5 = -23.5 7.5x + x2 = -23.5 The x term is 7.5x. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5x + 14.0625 + x2 = -23.5 + 14.0625 Reorder the terms: 14.0625 + 7.5x + x2 = -23.5 + 14.0625 Combine like terms: -23.5 + 14.0625 = -9.4375 14.0625 + 7.5x + x2 = -9.4375 Factor a perfect square on the left side: (x + 3.75)(x + 3.75) = -9.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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