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Simplifying 48 + 4q + 3q2 = 0 Solving 48 + 4q + 3q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 16 + 1.333333333q + q2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + 1.333333333q + -16 + q2 = 0 + -16 Reorder the terms: 16 + -16 + 1.333333333q + q2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1.333333333q + q2 = 0 + -16 1.333333333q + q2 = 0 + -16 Combine like terms: 0 + -16 = -16 1.333333333q + q2 = -16 The q term is 1.333333333q. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333q + 0.4444444442 + q2 = -16 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333q + q2 = -16 + 0.4444444442 Combine like terms: -16 + 0.4444444442 = -15.5555555558 0.4444444442 + 1.333333333q + q2 = -15.5555555558 Factor a perfect square on the left side: (q + 0.6666666665)(q + 0.6666666665) = -15.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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