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Simplifying -16x2 + 72x + -169 = 0 Reorder the terms: -169 + 72x + -16x2 = 0 Solving -169 + 72x + -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'. 10.5625 + -4.5x + x2 = 0 Move the constant term to the right: Add '-10.5625' to each side of the equation. 10.5625 + -4.5x + -10.5625 + x2 = 0 + -10.5625 Reorder the terms: 10.5625 + -10.5625 + -4.5x + x2 = 0 + -10.5625 Combine like terms: 10.5625 + -10.5625 = 0.0000 0.0000 + -4.5x + x2 = 0 + -10.5625 -4.5x + x2 = 0 + -10.5625 Combine like terms: 0 + -10.5625 = -10.5625 -4.5x + x2 = -10.5625 The x term is -4.5x. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5x + 5.0625 + x2 = -10.5625 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -10.5625 + 5.0625 Combine like terms: -10.5625 + 5.0625 = -5.5 5.0625 + -4.5x + x2 = -5.5 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -5.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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