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Simplifying 4x2 + 1.6x + 1 = 0 Reorder the terms: 1 + 1.6x + 4x2 = 0 Solving 1 + 1.6x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + 0.4x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.4x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.4x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.4x + x2 = 0 + -0.25 0.4x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.4x + x2 = -0.25 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -0.25 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -0.25 + 0.04 Combine like terms: -0.25 + 0.04 = -0.21 0.04 + 0.4x + x2 = -0.21 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -0.21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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