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Simplifying 2x2 + -4x + 18.2 = 2 Reorder the terms: 18.2 + -4x + 2x2 = 2 Solving 18.2 + -4x + 2x2 = 2 Solving for variable 'x'. Reorder the terms: 18.2 + -2 + -4x + 2x2 = 2 + -2 Combine like terms: 18.2 + -2 = 16.2 16.2 + -4x + 2x2 = 2 + -2 Combine like terms: 2 + -2 = 0 16.2 + -4x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 8.1 + -2x + x2 = 0 Move the constant term to the right: Add '-8.1' to each side of the equation. 8.1 + -2x + -8.1 + x2 = 0 + -8.1 Reorder the terms: 8.1 + -8.1 + -2x + x2 = 0 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + -2x + x2 = 0 + -8.1 -2x + x2 = 0 + -8.1 Combine like terms: 0 + -8.1 = -8.1 -2x + x2 = -8.1 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 = -8.1 + 1 Reorder the terms: 1 + -2x + x2 = -8.1 + 1 Combine like terms: -8.1 + 1 = -7.1 1 + -2x + x2 = -7.1 Factor a perfect square on the left side: (x + -1)(x + -1) = -7.1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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