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Simplifying 16x2 + 22x + 59 = 0 Reorder the terms: 59 + 22x + 16x2 = 0 Solving 59 + 22x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.6875 + 1.375x + x2 = 0 Move the constant term to the right: Add '-3.6875' to each side of the equation. 3.6875 + 1.375x + -3.6875 + x2 = 0 + -3.6875 Reorder the terms: 3.6875 + -3.6875 + 1.375x + x2 = 0 + -3.6875 Combine like terms: 3.6875 + -3.6875 = 0.0000 0.0000 + 1.375x + x2 = 0 + -3.6875 1.375x + x2 = 0 + -3.6875 Combine like terms: 0 + -3.6875 = -3.6875 1.375x + x2 = -3.6875 The x term is 1.375x. Take half its coefficient (0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. 1.375x + 0.47265625 + x2 = -3.6875 + 0.47265625 Reorder the terms: 0.47265625 + 1.375x + x2 = -3.6875 + 0.47265625 Combine like terms: -3.6875 + 0.47265625 = -3.21484375 0.47265625 + 1.375x + x2 = -3.21484375 Factor a perfect square on the left side: (x + 0.6875)(x + 0.6875) = -3.21484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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