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Simplifying x + x(1 + -1x) = 80 x + (1 * x + -1x * x) = 80 x + (1x + -1x2) = 80 Combine like terms: x + 1x = 2x 2x + -1x2 = 80 Solving 2x + -1x2 = 80 Solving for variable 'x'. Reorder the terms: -80 + 2x + -1x2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 80 + -2x + x2 = 0 Move the constant term to the right: Add '-80' to each side of the equation. 80 + -2x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + -2x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -2x + x2 = 0 + -80 -2x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 -2x + x2 = -80 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 = -80 + 1 Reorder the terms: 1 + -2x + x2 = -80 + 1 Combine like terms: -80 + 1 = -79 1 + -2x + x2 = -79 Factor a perfect square on the left side: (x + -1)(x + -1) = -79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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