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Simplifying 8v2 + -10v + 15 = 0 Reorder the terms: 15 + -10v + 8v2 = 0 Solving 15 + -10v + 8v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + -1.25v + v2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -1.25v + -1.875 + v2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -1.25v + v2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -1.25v + v2 = 0 + -1.875 -1.25v + v2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -1.25v + v2 = -1.875 The v term is -1.25v. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25v + 0.390625 + v2 = -1.875 + 0.390625 Reorder the terms: 0.390625 + -1.25v + v2 = -1.875 + 0.390625 Combine like terms: -1.875 + 0.390625 = -1.484375 0.390625 + -1.25v + v2 = -1.484375 Factor a perfect square on the left side: (v + -0.625)(v + -0.625) = -1.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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