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Simplifying 2x + 14 + -1x2 = 49 Reorder the terms: 14 + 2x + -1x2 = 49 Solving 14 + 2x + -1x2 = 49 Solving for variable 'x'. Reorder the terms: 14 + -49 + 2x + -1x2 = 49 + -49 Combine like terms: 14 + -49 = -35 -35 + 2x + -1x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -35 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 35 + -2x + x2 = 0 Move the constant term to the right: Add '-35' to each side of the equation. 35 + -2x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + -2x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -2x + x2 = 0 + -35 -2x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 -2x + x2 = -35 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 = -35 + 1 Reorder the terms: 1 + -2x + x2 = -35 + 1 Combine like terms: -35 + 1 = -34 1 + -2x + x2 = -34 Factor a perfect square on the left side: (x + -1)(x + -1) = -34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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