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Simplifying 100x2 + -100x + 169 = 0 Reorder the terms: 169 + -100x + 100x2 = 0 Solving 169 + -100x + 100x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 100 the coefficient of the squared term: Divide each side by '100'. 1.69 + -1x + x2 = 0 Move the constant term to the right: Add '-1.69' to each side of the equation. 1.69 + -1x + -1.69 + x2 = 0 + -1.69 Reorder the terms: 1.69 + -1.69 + -1x + x2 = 0 + -1.69 Combine like terms: 1.69 + -1.69 = 0.00 0.00 + -1x + x2 = 0 + -1.69 -1x + x2 = 0 + -1.69 Combine like terms: 0 + -1.69 = -1.69 -1x + x2 = -1.69 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.69 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.69 + 0.25 Combine like terms: -1.69 + 0.25 = -1.44 0.25 + -1x + x2 = -1.44 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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