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Simplifying 3 = -0.018x2 + 0.25x + -2.3 Reorder the terms: 3 = -2.3 + 0.25x + -0.018x2 Solving 3 = -2.3 + 0.25x + -0.018x2 Solving for variable 'x'. Combine like terms: 3 + 2.3 = 5.3 5.3 + -0.25x + 0.018x2 = -2.3 + 0.25x + -0.018x2 + 2.3 + -0.25x + 0.018x2 Reorder the terms: 5.3 + -0.25x + 0.018x2 = -2.3 + 2.3 + 0.25x + -0.25x + -0.018x2 + 0.018x2 Combine like terms: -2.3 + 2.3 = 0.0 5.3 + -0.25x + 0.018x2 = 0.0 + 0.25x + -0.25x + -0.018x2 + 0.018x2 5.3 + -0.25x + 0.018x2 = 0.25x + -0.25x + -0.018x2 + 0.018x2 Combine like terms: 0.25x + -0.25x = 0.00 5.3 + -0.25x + 0.018x2 = 0.00 + -0.018x2 + 0.018x2 5.3 + -0.25x + 0.018x2 = -0.018x2 + 0.018x2 Combine like terms: -0.018x2 + 0.018x2 = 0.000 5.3 + -0.25x + 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'. 294.4444444 + -13.88888889x + x2 = 0 Move the constant term to the right: Add '-294.4444444' to each side of the equation. 294.4444444 + -13.88888889x + -294.4444444 + x2 = 0 + -294.4444444 Reorder the terms: 294.4444444 + -294.4444444 + -13.88888889x + x2 = 0 + -294.4444444 Combine like terms: 294.4444444 + -294.4444444 = 0.0000000 0.0000000 + -13.88888889x + x2 = 0 + -294.4444444 -13.88888889x + x2 = 0 + -294.4444444 Combine like terms: 0 + -294.4444444 = -294.4444444 -13.88888889x + x2 = -294.4444444 The x term is -13.88888889x. Take half its coefficient (-6.944444445). Square it (48.22530865) and add it to both sides. Add '48.22530865' to each side of the equation. -13.88888889x + 48.22530865 + x2 = -294.4444444 + 48.22530865 Reorder the terms: 48.22530865 + -13.88888889x + x2 = -294.4444444 + 48.22530865 Combine like terms: -294.4444444 + 48.22530865 = -246.21913575 48.22530865 + -13.88888889x + x2 = -246.21913575 Factor a perfect square on the left side: (x + -6.944444445)(x + -6.944444445) = -246.21913575 Can't calculate square root of the right side. The solution to this equation could not be determined.
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