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Simplifying 15 + -8q + 2.25q2 = 0 Solving 15 + -8q + 2.25q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 2.25 the coefficient of the squared term: Divide each side by '2.25'. 6.666666667 + -3.555555556q + q2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + -3.555555556q + -6.666666667 + q2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + -3.555555556q + q2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + -3.555555556q + q2 = 0 + -6.666666667 -3.555555556q + q2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 -3.555555556q + q2 = -6.666666667 The q term is -3.555555556q. Take half its coefficient (-1.777777778). Square it (3.160493828) and add it to both sides. Add '3.160493828' to each side of the equation. -3.555555556q + 3.160493828 + q2 = -6.666666667 + 3.160493828 Reorder the terms: 3.160493828 + -3.555555556q + q2 = -6.666666667 + 3.160493828 Combine like terms: -6.666666667 + 3.160493828 = -3.506172839 3.160493828 + -3.555555556q + q2 = -3.506172839 Factor a perfect square on the left side: (q + -1.777777778)(q + -1.777777778) = -3.506172839 Can't calculate square root of the right side. The solution to this equation could not be determined.
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