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Simplifying 0 = x2 + -5x + 6.67 Reorder the terms: 0 = 6.67 + -5x + x2 Solving 0 = 6.67 + -5x + x2 Solving for variable 'x'. Combine like terms: 0 + -6.67 = -6.67 -6.67 + 5x + -1x2 = 6.67 + -5x + x2 + -6.67 + 5x + -1x2 Reorder the terms: -6.67 + 5x + -1x2 = 6.67 + -6.67 + -5x + 5x + x2 + -1x2 Combine like terms: 6.67 + -6.67 = 0.00 -6.67 + 5x + -1x2 = 0.00 + -5x + 5x + x2 + -1x2 -6.67 + 5x + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 -6.67 + 5x + -1x2 = 0 + x2 + -1x2 -6.67 + 5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6.67 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 6.67 + -5x + x2 = 0 Move the constant term to the right: Add '-6.67' to each side of the equation. 6.67 + -5x + -6.67 + x2 = 0 + -6.67 Reorder the terms: 6.67 + -6.67 + -5x + x2 = 0 + -6.67 Combine like terms: 6.67 + -6.67 = 0.00 0.00 + -5x + x2 = 0 + -6.67 -5x + x2 = 0 + -6.67 Combine like terms: 0 + -6.67 = -6.67 -5x + x2 = -6.67 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 = -6.67 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -6.67 + 6.25 Combine like terms: -6.67 + 6.25 = -0.42 6.25 + -5x + x2 = -0.42 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -0.42 Can't calculate square root of the right side. The solution to this equation could not be determined.
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