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Simplifying 0 = 0.43x + -0.018x2 + -21.7 Reorder the terms: 0 = -21.7 + 0.43x + -0.018x2 Solving 0 = -21.7 + 0.43x + -0.018x2 Solving for variable 'x'. Combine like terms: 0 + 21.7 = 21.7 21.7 + -0.43x + 0.018x2 = -21.7 + 0.43x + -0.018x2 + 21.7 + -0.43x + 0.018x2 Reorder the terms: 21.7 + -0.43x + 0.018x2 = -21.7 + 21.7 + 0.43x + -0.43x + -0.018x2 + 0.018x2 Combine like terms: -21.7 + 21.7 = 0.0 21.7 + -0.43x + 0.018x2 = 0.0 + 0.43x + -0.43x + -0.018x2 + 0.018x2 21.7 + -0.43x + 0.018x2 = 0.43x + -0.43x + -0.018x2 + 0.018x2 Combine like terms: 0.43x + -0.43x = 0.00 21.7 + -0.43x + 0.018x2 = 0.00 + -0.018x2 + 0.018x2 21.7 + -0.43x + 0.018x2 = -0.018x2 + 0.018x2 Combine like terms: -0.018x2 + 0.018x2 = 0.000 21.7 + -0.43x + 0.018x2 = 0.000 Begin completing the square. Divide all terms by 0.018 the coefficient of the squared term: Divide each side by '0.018'. 1205.555556 + -23.88888889x + x2 = 0 Move the constant term to the right: Add '-1205.555556' to each side of the equation. 1205.555556 + -23.88888889x + -1205.555556 + x2 = 0 + -1205.555556 Reorder the terms: 1205.555556 + -1205.555556 + -23.88888889x + x2 = 0 + -1205.555556 Combine like terms: 1205.555556 + -1205.555556 = 0.000000 0.000000 + -23.88888889x + x2 = 0 + -1205.555556 -23.88888889x + x2 = 0 + -1205.555556 Combine like terms: 0 + -1205.555556 = -1205.555556 -23.88888889x + x2 = -1205.555556 The x term is -23.88888889x. Take half its coefficient (-11.94444445). Square it (142.6697532) and add it to both sides. Add '142.6697532' to each side of the equation. -23.88888889x + 142.6697532 + x2 = -1205.555556 + 142.6697532 Reorder the terms: 142.6697532 + -23.88888889x + x2 = -1205.555556 + 142.6697532 Combine like terms: -1205.555556 + 142.6697532 = -1062.8858028 142.6697532 + -23.88888889x + x2 = -1062.8858028 Factor a perfect square on the left side: (x + -11.94444445)(x + -11.94444445) = -1062.8858028 Can't calculate square root of the right side. The solution to this equation could not be determined.
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