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Simplifying 18x + -0.5x2 = 322 Solving 18x + -0.5x2 = 322 Solving for variable 'x'. Reorder the terms: -322 + 18x + -0.5x2 = 322 + -322 Combine like terms: 322 + -322 = 0 -322 + 18x + -0.5x2 = 0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 644 + -36x + x2 = 0 Move the constant term to the right: Add '-644' to each side of the equation. 644 + -36x + -644 + x2 = 0 + -644 Reorder the terms: 644 + -644 + -36x + x2 = 0 + -644 Combine like terms: 644 + -644 = 0 0 + -36x + x2 = 0 + -644 -36x + x2 = 0 + -644 Combine like terms: 0 + -644 = -644 -36x + x2 = -644 The x term is -36x. Take half its coefficient (-18). Square it (324) and add it to both sides. Add '324' to each side of the equation. -36x + 324 + x2 = -644 + 324 Reorder the terms: 324 + -36x + x2 = -644 + 324 Combine like terms: -644 + 324 = -320 324 + -36x + x2 = -320 Factor a perfect square on the left side: (x + -18)(x + -18) = -320 Can't calculate square root of the right side. The solution to this equation could not be determined.
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