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Simplifying 192 + 10q + 3q2 = 10 + 6q Solving 192 + 10q + 3q2 = 10 + 6q Solving for variable 'q'. Reorder the terms: 192 + -10 + 10q + -6q + 3q2 = 10 + 6q + -10 + -6q Combine like terms: 192 + -10 = 182 182 + 10q + -6q + 3q2 = 10 + 6q + -10 + -6q Combine like terms: 10q + -6q = 4q 182 + 4q + 3q2 = 10 + 6q + -10 + -6q Reorder the terms: 182 + 4q + 3q2 = 10 + -10 + 6q + -6q Combine like terms: 10 + -10 = 0 182 + 4q + 3q2 = 0 + 6q + -6q 182 + 4q + 3q2 = 6q + -6q Combine like terms: 6q + -6q = 0 182 + 4q + 3q2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 60.66666667 + 1.333333333q + q2 = 0 Move the constant term to the right: Add '-60.66666667' to each side of the equation. 60.66666667 + 1.333333333q + -60.66666667 + q2 = 0 + -60.66666667 Reorder the terms: 60.66666667 + -60.66666667 + 1.333333333q + q2 = 0 + -60.66666667 Combine like terms: 60.66666667 + -60.66666667 = 0.00000000 0.00000000 + 1.333333333q + q2 = 0 + -60.66666667 1.333333333q + q2 = 0 + -60.66666667 Combine like terms: 0 + -60.66666667 = -60.66666667 1.333333333q + q2 = -60.66666667 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 = -60.66666667 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333q + q2 = -60.66666667 + 0.4444444442 Combine like terms: -60.66666667 + 0.4444444442 = -60.2222222258 0.4444444442 + 1.333333333q + q2 = -60.2222222258 Factor a perfect square on the left side: (q + 0.6666666665)(q + 0.6666666665) = -60.2222222258 Can't calculate square root of the right side. The solution to this equation could not be determined.
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