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Simplifying 16q2 + -30q + 15 = 0 Reorder the terms: 15 + -30q + 16q2 = 0 Solving 15 + -30q + 16q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.9375 + -1.875q + q2 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + -1.875q + -0.9375 + q2 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + -1.875q + q2 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + -1.875q + q2 = 0 + -0.9375 -1.875q + q2 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 -1.875q + q2 = -0.9375 The q term is -1.875q. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875q + 0.87890625 + q2 = -0.9375 + 0.87890625 Reorder the terms: 0.87890625 + -1.875q + q2 = -0.9375 + 0.87890625 Combine like terms: -0.9375 + 0.87890625 = -0.05859375 0.87890625 + -1.875q + q2 = -0.05859375 Factor a perfect square on the left side: (q + -0.9375)(q + -0.9375) = -0.05859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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