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Simplifying -1x2 + 2x + -40 = 0 Reorder the terms: -40 + 2x + -1x2 = 0 Solving -40 + 2x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 40 + -2x + x2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -2x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -2x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -2x + x2 = 0 + -40 -2x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -2x + x2 = -40 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 = -40 + 1 Reorder the terms: 1 + -2x + x2 = -40 + 1 Combine like terms: -40 + 1 = -39 1 + -2x + x2 = -39 Factor a perfect square on the left side: (x + -1)(x + -1) = -39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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