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Simplifying 2x2 + 4x + 16 = 0.45 Reorder the terms: 16 + 4x + 2x2 = 0.45 Solving 16 + 4x + 2x2 = 0.45 Solving for variable 'x'. Reorder the terms: 16 + -0.45 + 4x + 2x2 = 0.45 + -0.45 Combine like terms: 16 + -0.45 = 15.55 15.55 + 4x + 2x2 = 0.45 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 15.55 + 4x + 2x2 = 0.00 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.775 + 2x + x2 = 0.00 Move the constant term to the right: Add '-7.775' to each side of the equation. 7.775 + 2x + -7.775 + x2 = 0.00 + -7.775 Reorder the terms: 7.775 + -7.775 + 2x + x2 = 0.00 + -7.775 Combine like terms: 7.775 + -7.775 = 0.000 0.000 + 2x + x2 = 0.00 + -7.775 2x + x2 = 0.00 + -7.775 Combine like terms: 0.00 + -7.775 = -7.775 2x + x2 = -7.775 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -7.775 + 1 Reorder the terms: 1 + 2x + x2 = -7.775 + 1 Combine like terms: -7.775 + 1 = -6.775 1 + 2x + x2 = -6.775 Factor a perfect square on the left side: (x + 1)(x + 1) = -6.775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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