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Simplifying 0 = x2 + -2x + 5 Reorder the terms: 0 = 5 + -2x + x2 Solving 0 = 5 + -2x + x2 Solving for variable 'x'. Combine like terms: 0 + -5 = -5 -5 + 2x + -1x2 = 5 + -2x + x2 + -5 + 2x + -1x2 Reorder the terms: -5 + 2x + -1x2 = 5 + -5 + -2x + 2x + x2 + -1x2 Combine like terms: 5 + -5 = 0 -5 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2 -5 + 2x + -1x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 -5 + 2x + -1x2 = 0 + x2 + -1x2 -5 + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -2x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -2x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x + x2 = 0 + -5 -2x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x + x2 = -5 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 = -5 + 1 Reorder the terms: 1 + -2x + x2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + -2x + x2 = -4 Factor a perfect square on the left side: (x + -1)(x + -1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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