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Simplifying 5.85x + -1x2 = 24.288 Solving 5.85x + -1x2 = 24.288 Solving for variable 'x'. Reorder the terms: -24.288 + 5.85x + -1x2 = 24.288 + -24.288 Combine like terms: 24.288 + -24.288 = 0.000 -24.288 + 5.85x + -1x2 = 0.000 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 24.288 + -5.85x + x2 = 0.000 Move the constant term to the right: Add '-24.288' to each side of the equation. 24.288 + -5.85x + -24.288 + x2 = 0.000 + -24.288 Reorder the terms: 24.288 + -24.288 + -5.85x + x2 = 0.000 + -24.288 Combine like terms: 24.288 + -24.288 = 0.000 0.000 + -5.85x + x2 = 0.000 + -24.288 -5.85x + x2 = 0.000 + -24.288 Combine like terms: 0.000 + -24.288 = -24.288 -5.85x + x2 = -24.288 The x term is -5.85x. Take half its coefficient (-2.925). Square it (8.555625) and add it to both sides. Add '8.555625' to each side of the equation. -5.85x + 8.555625 + x2 = -24.288 + 8.555625 Reorder the terms: 8.555625 + -5.85x + x2 = -24.288 + 8.555625 Combine like terms: -24.288 + 8.555625 = -15.732375 8.555625 + -5.85x + x2 = -15.732375 Factor a perfect square on the left side: (x + -2.925)(x + -2.925) = -15.732375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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