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Simplifying 5x + -18.5 = x2 Reorder the terms: -18.5 + 5x = x2 Solving -18.5 + 5x = x2 Solving for variable 'x'. Combine like terms: x2 + -1x2 = 0 -18.5 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 18.5 + -5x + x2 = 0 Move the constant term to the right: Add '-18.5' to each side of the equation. 18.5 + -5x + -18.5 + x2 = 0 + -18.5 Reorder the terms: 18.5 + -18.5 + -5x + x2 = 0 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + -5x + x2 = 0 + -18.5 -5x + x2 = 0 + -18.5 Combine like terms: 0 + -18.5 = -18.5 -5x + x2 = -18.5 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 = -18.5 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -18.5 + 6.25 Combine like terms: -18.5 + 6.25 = -12.25 6.25 + -5x + x2 = -12.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -12.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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