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Simplifying 16x2 + 5x + 6 = 0 Reorder the terms: 6 + 5x + 16x2 = 0 Solving 6 + 5x + 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'. 0.375 + 0.3125x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + 0.3125x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + 0.3125x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 0.3125x + x2 = 0 + -0.375 0.3125x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 0.3125x + x2 = -0.375 The x term is 0.3125x. Take half its coefficient (0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. 0.3125x + 0.0244140625 + x2 = -0.375 + 0.0244140625 Reorder the terms: 0.0244140625 + 0.3125x + x2 = -0.375 + 0.0244140625 Combine like terms: -0.375 + 0.0244140625 = -0.3505859375 0.0244140625 + 0.3125x + x2 = -0.3505859375 Factor a perfect square on the left side: (x + 0.15625)(x + 0.15625) = -0.3505859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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