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Simplifying 2x2 + 29x + 162 = 0 Reorder the terms: 162 + 29x + 2x2 = 0 Solving 162 + 29x + 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'. 81 + 14.5x + x2 = 0 Move the constant term to the right: Add '-81' to each side of the equation. 81 + 14.5x + -81 + x2 = 0 + -81 Reorder the terms: 81 + -81 + 14.5x + x2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 14.5x + x2 = 0 + -81 14.5x + x2 = 0 + -81 Combine like terms: 0 + -81 = -81 14.5x + x2 = -81 The x term is 14.5x. Take half its coefficient (7.25). Square it (52.5625) and add it to both sides. Add '52.5625' to each side of the equation. 14.5x + 52.5625 + x2 = -81 + 52.5625 Reorder the terms: 52.5625 + 14.5x + x2 = -81 + 52.5625 Combine like terms: -81 + 52.5625 = -28.4375 52.5625 + 14.5x + x2 = -28.4375 Factor a perfect square on the left side: (x + 7.25)(x + 7.25) = -28.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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