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Simplifying 0 = 0.015x2 + 0.455x + 6 Reorder the terms: 0 = 6 + 0.455x + 0.015x2 Solving 0 = 6 + 0.455x + 0.015x2 Solving for variable 'x'. Combine like terms: 0 + -6 = -6 -6 + -0.455x + -0.015x2 = 6 + 0.455x + 0.015x2 + -6 + -0.455x + -0.015x2 Reorder the terms: -6 + -0.455x + -0.015x2 = 6 + -6 + 0.455x + -0.455x + 0.015x2 + -0.015x2 Combine like terms: 6 + -6 = 0 -6 + -0.455x + -0.015x2 = 0 + 0.455x + -0.455x + 0.015x2 + -0.015x2 -6 + -0.455x + -0.015x2 = 0.455x + -0.455x + 0.015x2 + -0.015x2 Combine like terms: 0.455x + -0.455x = 0.000 -6 + -0.455x + -0.015x2 = 0.000 + 0.015x2 + -0.015x2 -6 + -0.455x + -0.015x2 = 0.015x2 + -0.015x2 Combine like terms: 0.015x2 + -0.015x2 = 0.000 -6 + -0.455x + -0.015x2 = 0.000 Begin completing the square. Divide all terms by -0.015 the coefficient of the squared term: Divide each side by '-0.015'. 400 + 30.33333333x + x2 = 0 Move the constant term to the right: Add '-400' to each side of the equation. 400 + 30.33333333x + -400 + x2 = 0 + -400 Reorder the terms: 400 + -400 + 30.33333333x + x2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 30.33333333x + x2 = 0 + -400 30.33333333x + x2 = 0 + -400 Combine like terms: 0 + -400 = -400 30.33333333x + x2 = -400 The x term is 30.33333333x. Take half its coefficient (15.16666667). Square it (230.0277779) and add it to both sides. Add '230.0277779' to each side of the equation. 30.33333333x + 230.0277779 + x2 = -400 + 230.0277779 Reorder the terms: 230.0277779 + 30.33333333x + x2 = -400 + 230.0277779 Combine like terms: -400 + 230.0277779 = -169.9722221 230.0277779 + 30.33333333x + x2 = -169.9722221 Factor a perfect square on the left side: (x + 15.16666667)(x + 15.16666667) = -169.9722221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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