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Simplifying 5x2 + -11x + 80 = 0 Reorder the terms: 80 + -11x + 5x2 = 0 Solving 80 + -11x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16 + -2.2x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -2.2x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -2.2x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2.2x + x2 = 0 + -16 -2.2x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -2.2x + x2 = -16 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -16 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -16 + 1.21 Combine like terms: -16 + 1.21 = -14.79 1.21 + -2.2x + x2 = -14.79 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -14.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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