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Simplifying 16x2 + 1 = 5x Reorder the terms: 1 + 16x2 = 5x Solving 1 + 16x2 = 5x Solving for variable 'x'. Reorder the terms: 1 + -5x + 16x2 = 5x + -5x Combine like terms: 5x + -5x = 0 1 + -5x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.0625 + -0.3125x + x2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + -0.3125x + -0.0625 + x2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + -0.3125x + x2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + -0.3125x + x2 = 0 + -0.0625 -0.3125x + x2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 -0.3125x + x2 = -0.0625 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 = -0.0625 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125x + x2 = -0.0625 + 0.0244140625 Combine like terms: -0.0625 + 0.0244140625 = -0.0380859375 0.0244140625 + -0.3125x + x2 = -0.0380859375 Factor a perfect square on the left side: (x + -0.15625)(x + -0.15625) = -0.0380859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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