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Simplifying -16x2 + 80x + -187 = 0 Reorder the terms: -187 + 80x + -16x2 = 0 Solving -187 + 80x + -16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 11.6875 + -5x + x2 = 0 Move the constant term to the right: Add '-11.6875' to each side of the equation. 11.6875 + -5x + -11.6875 + x2 = 0 + -11.6875 Reorder the terms: 11.6875 + -11.6875 + -5x + x2 = 0 + -11.6875 Combine like terms: 11.6875 + -11.6875 = 0.0000 0.0000 + -5x + x2 = 0 + -11.6875 -5x + x2 = 0 + -11.6875 Combine like terms: 0 + -11.6875 = -11.6875 -5x + x2 = -11.6875 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -11.6875 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -11.6875 + 6.25 Combine like terms: -11.6875 + 6.25 = -5.4375 6.25 + -5x + x2 = -5.4375 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -5.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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