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Simplifying 16x2 + 6x + 1 = 0 Reorder the terms: 1 + 6x + 16x2 = 0 Solving 1 + 6x + 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'. 0.0625 + 0.375x + x2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + 0.375x + -0.0625 + x2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + 0.375x + x2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + 0.375x + x2 = 0 + -0.0625 0.375x + x2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 0.375x + x2 = -0.0625 The x term is 0.375x. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x + 0.03515625 + x2 = -0.0625 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x + x2 = -0.0625 + 0.03515625 Combine like terms: -0.0625 + 0.03515625 = -0.02734375 0.03515625 + 0.375x + x2 = -0.02734375 Factor a perfect square on the left side: (x + 0.1875)(x + 0.1875) = -0.02734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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