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Simplifying 44q2 + 33q + 35 = 0 Reorder the terms: 35 + 33q + 44q2 = 0 Solving 35 + 33q + 44q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 44 the coefficient of the squared term: Divide each side by '44'. 0.7954545455 + 0.75q + q2 = 0 Move the constant term to the right: Add '-0.7954545455' to each side of the equation. 0.7954545455 + 0.75q + -0.7954545455 + q2 = 0 + -0.7954545455 Reorder the terms: 0.7954545455 + -0.7954545455 + 0.75q + q2 = 0 + -0.7954545455 Combine like terms: 0.7954545455 + -0.7954545455 = 0.0000000000 0.0000000000 + 0.75q + q2 = 0 + -0.7954545455 0.75q + q2 = 0 + -0.7954545455 Combine like terms: 0 + -0.7954545455 = -0.7954545455 0.75q + q2 = -0.7954545455 The q term is 0.75q. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75q + 0.140625 + q2 = -0.7954545455 + 0.140625 Reorder the terms: 0.140625 + 0.75q + q2 = -0.7954545455 + 0.140625 Combine like terms: -0.7954545455 + 0.140625 = -0.6548295455 0.140625 + 0.75q + q2 = -0.6548295455 Factor a perfect square on the left side: (q + 0.375)(q + 0.375) = -0.6548295455 Can't calculate square root of the right side. The solution to this equation could not be determined.
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