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Simplifying 0 = 3q2 + -50q + 453 Reorder the terms: 0 = 453 + -50q + 3q2 Solving 0 = 453 + -50q + 3q2 Solving for variable 'q'. Combine like terms: 0 + -453 = -453 -453 + 50q + -3q2 = 453 + -50q + 3q2 + -453 + 50q + -3q2 Reorder the terms: -453 + 50q + -3q2 = 453 + -453 + -50q + 50q + 3q2 + -3q2 Combine like terms: 453 + -453 = 0 -453 + 50q + -3q2 = 0 + -50q + 50q + 3q2 + -3q2 -453 + 50q + -3q2 = -50q + 50q + 3q2 + -3q2 Combine like terms: -50q + 50q = 0 -453 + 50q + -3q2 = 0 + 3q2 + -3q2 -453 + 50q + -3q2 = 3q2 + -3q2 Combine like terms: 3q2 + -3q2 = 0 -453 + 50q + -3q2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 151 + -16.66666667q + q2 = 0 Move the constant term to the right: Add '-151' to each side of the equation. 151 + -16.66666667q + -151 + q2 = 0 + -151 Reorder the terms: 151 + -151 + -16.66666667q + q2 = 0 + -151 Combine like terms: 151 + -151 = 0 0 + -16.66666667q + q2 = 0 + -151 -16.66666667q + q2 = 0 + -151 Combine like terms: 0 + -151 = -151 -16.66666667q + q2 = -151 The q term is -16.66666667q. Take half its coefficient (-8.333333335). Square it (69.44444447) and add it to both sides. Add '69.44444447' to each side of the equation. -16.66666667q + 69.44444447 + q2 = -151 + 69.44444447 Reorder the terms: 69.44444447 + -16.66666667q + q2 = -151 + 69.44444447 Combine like terms: -151 + 69.44444447 = -81.55555553 69.44444447 + -16.66666667q + q2 = -81.55555553 Factor a perfect square on the left side: (q + -8.333333335)(q + -8.333333335) = -81.55555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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