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Simplifying 2x + -13 = x2 Reorder the terms: -13 + 2x = x2 Solving -13 + 2x = x2 Solving for variable 'x'. Combine like terms: x2 + -1x2 = 0 -13 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 13 + -2x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -2x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -2x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x + x2 = 0 + -13 -2x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -2x + x2 = -13 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 = -13 + 1 Reorder the terms: 1 + -2x + x2 = -13 + 1 Combine like terms: -13 + 1 = -12 1 + -2x + x2 = -12 Factor a perfect square on the left side: (x + -1)(x + -1) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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