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Simplifying 2x2 + 3x = -81 Reorder the terms: 3x + 2x2 = -81 Solving 3x + 2x2 = -81 Solving for variable 'x'. Reorder the terms: 81 + 3x + 2x2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 40.5 + 1.5x + x2 = 0 Move the constant term to the right: Add '-40.5' to each side of the equation. 40.5 + 1.5x + -40.5 + x2 = 0 + -40.5 Reorder the terms: 40.5 + -40.5 + 1.5x + x2 = 0 + -40.5 Combine like terms: 40.5 + -40.5 = 0.0 0.0 + 1.5x + x2 = 0 + -40.5 1.5x + x2 = 0 + -40.5 Combine like terms: 0 + -40.5 = -40.5 1.5x + x2 = -40.5 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 = -40.5 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -40.5 + 0.5625 Combine like terms: -40.5 + 0.5625 = -39.9375 0.5625 + 1.5x + x2 = -39.9375 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -39.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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