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Simplifying 64v2 + -24v + 9 = 0 Reorder the terms: 9 + -24v + 64v2 = 0 Solving 9 + -24v + 64v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 64 the coefficient of the squared term: Divide each side by '64'. 0.140625 + -0.375v + v2 = 0 Move the constant term to the right: Add '-0.140625' to each side of the equation. 0.140625 + -0.375v + -0.140625 + v2 = 0 + -0.140625 Reorder the terms: 0.140625 + -0.140625 + -0.375v + v2 = 0 + -0.140625 Combine like terms: 0.140625 + -0.140625 = 0.000000 0.000000 + -0.375v + v2 = 0 + -0.140625 -0.375v + v2 = 0 + -0.140625 Combine like terms: 0 + -0.140625 = -0.140625 -0.375v + v2 = -0.140625 The v term is -0.375v. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375v + 0.03515625 + v2 = -0.140625 + 0.03515625 Reorder the terms: 0.03515625 + -0.375v + v2 = -0.140625 + 0.03515625 Combine like terms: -0.140625 + 0.03515625 = -0.10546875 0.03515625 + -0.375v + v2 = -0.10546875 Factor a perfect square on the left side: (v + -0.1875)(v + -0.1875) = -0.10546875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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