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Simplifying -1x2 + 20x + -116 = 0 Reorder the terms: -116 + 20x + -1x2 = 0 Solving -116 + 20x + -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'. 116 + -20x + x2 = 0 Move the constant term to the right: Add '-116' to each side of the equation. 116 + -20x + -116 + x2 = 0 + -116 Reorder the terms: 116 + -116 + -20x + x2 = 0 + -116 Combine like terms: 116 + -116 = 0 0 + -20x + x2 = 0 + -116 -20x + x2 = 0 + -116 Combine like terms: 0 + -116 = -116 -20x + x2 = -116 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -116 + 100 Reorder the terms: 100 + -20x + x2 = -116 + 100 Combine like terms: -116 + 100 = -16 100 + -20x + x2 = -16 Factor a perfect square on the left side: (x + -10)(x + -10) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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