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Simplifying 8v2 = 2v + -7 Reorder the terms: 8v2 = -7 + 2v Solving 8v2 = -7 + 2v Solving for variable 'v'. Reorder the terms: 7 + -2v + 8v2 = -7 + 2v + 7 + -2v Reorder the terms: 7 + -2v + 8v2 = -7 + 7 + 2v + -2v Combine like terms: -7 + 7 = 0 7 + -2v + 8v2 = 0 + 2v + -2v 7 + -2v + 8v2 = 2v + -2v Combine like terms: 2v + -2v = 0 7 + -2v + 8v2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + -0.25v + v2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.25v + -0.875 + v2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.25v + v2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.25v + v2 = 0 + -0.875 -0.25v + v2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.25v + v2 = -0.875 The v term is -0.25v. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25v + 0.015625 + v2 = -0.875 + 0.015625 Reorder the terms: 0.015625 + -0.25v + v2 = -0.875 + 0.015625 Combine like terms: -0.875 + 0.015625 = -0.859375 0.015625 + -0.25v + v2 = -0.859375 Factor a perfect square on the left side: (v + -0.125)(v + -0.125) = -0.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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