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Simplifying 2x2 + 3x + 15 = 0 Reorder the terms: 15 + 3x + 2x2 = 0 Solving 15 + 3x + 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'. 7.5 + 1.5x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 1.5x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 1.5x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 1.5x + x2 = 0 + -7.5 1.5x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 1.5x + x2 = -7.5 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -7.5 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -7.5 + 0.5625 Combine like terms: -7.5 + 0.5625 = -6.9375 0.5625 + 1.5x + x2 = -6.9375 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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