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Simplifying 0 = v2 + -1v + 24 Reorder the terms: 0 = 24 + -1v + v2 Solving 0 = 24 + -1v + v2 Solving for variable 'v'. Combine like terms: 0 + -24 = -24 -24 + v + -1v2 = 24 + -1v + v2 + -24 + v + -1v2 Reorder the terms: -24 + v + -1v2 = 24 + -24 + -1v + v + v2 + -1v2 Combine like terms: 24 + -24 = 0 -24 + v + -1v2 = 0 + -1v + v + v2 + -1v2 -24 + v + -1v2 = -1v + v + v2 + -1v2 Combine like terms: -1v + v = 0 -24 + v + -1v2 = 0 + v2 + -1v2 -24 + v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -24 + v + -1v2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 24 + -1v + v2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -1v + -24 + v2 = 0 + -24 Reorder the terms: 24 + -24 + -1v + v2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1v + v2 = 0 + -24 -1v + v2 = 0 + -24 Combine like terms: 0 + -24 = -24 -1v + v2 = -24 The v term is v. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1v + 0.25 + v2 = -24 + 0.25 Reorder the terms: 0.25 + -1v + v2 = -24 + 0.25 Combine like terms: -24 + 0.25 = -23.75 0.25 + -1v + v2 = -23.75 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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