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Simplifying 4 = -0.018x2 + 0.25x + 0.7 Reorder the terms: 4 = 0.7 + 0.25x + -0.018x2 Solving 4 = 0.7 + 0.25x + -0.018x2 Solving for variable 'x'. Combine like terms: 4 + -0.7 = 3.3 3.3 + -0.25x + 0.018x2 = 0.7 + 0.25x + -0.018x2 + -0.7 + -0.25x + 0.018x2 Reorder the terms: 3.3 + -0.25x + 0.018x2 = 0.7 + -0.7 + 0.25x + -0.25x + -0.018x2 + 0.018x2 Combine like terms: 0.7 + -0.7 = 0.0 3.3 + -0.25x + 0.018x2 = 0.0 + 0.25x + -0.25x + -0.018x2 + 0.018x2 3.3 + -0.25x + 0.018x2 = 0.25x + -0.25x + -0.018x2 + 0.018x2 Combine like terms: 0.25x + -0.25x = 0.00 3.3 + -0.25x + 0.018x2 = 0.00 + -0.018x2 + 0.018x2 3.3 + -0.25x + 0.018x2 = -0.018x2 + 0.018x2 Combine like terms: -0.018x2 + 0.018x2 = 0.000 3.3 + -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'. 183.3333333 + -13.88888889x + x2 = 0 Move the constant term to the right: Add '-183.3333333' to each side of the equation. 183.3333333 + -13.88888889x + -183.3333333 + x2 = 0 + -183.3333333 Reorder the terms: 183.3333333 + -183.3333333 + -13.88888889x + x2 = 0 + -183.3333333 Combine like terms: 183.3333333 + -183.3333333 = 0.0000000 0.0000000 + -13.88888889x + x2 = 0 + -183.3333333 -13.88888889x + x2 = 0 + -183.3333333 Combine like terms: 0 + -183.3333333 = -183.3333333 -13.88888889x + x2 = -183.3333333 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 = -183.3333333 + 48.22530865 Reorder the terms: 48.22530865 + -13.88888889x + x2 = -183.3333333 + 48.22530865 Combine like terms: -183.3333333 + 48.22530865 = -135.10802465 48.22530865 + -13.88888889x + x2 = -135.10802465 Factor a perfect square on the left side: (x + -6.944444445)(x + -6.944444445) = -135.10802465 Can't calculate square root of the right side. The solution to this equation could not be determined.
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