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Simplifying 7v2 + -21v + 48 = 0 Reorder the terms: 48 + -21v + 7v2 = 0 Solving 48 + -21v + 7v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 6.857142857 + -3v + v2 = 0 Move the constant term to the right: Add '-6.857142857' to each side of the equation. 6.857142857 + -3v + -6.857142857 + v2 = 0 + -6.857142857 Reorder the terms: 6.857142857 + -6.857142857 + -3v + v2 = 0 + -6.857142857 Combine like terms: 6.857142857 + -6.857142857 = 0.000000000 0.000000000 + -3v + v2 = 0 + -6.857142857 -3v + v2 = 0 + -6.857142857 Combine like terms: 0 + -6.857142857 = -6.857142857 -3v + v2 = -6.857142857 The v term is -3v. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3v + 2.25 + v2 = -6.857142857 + 2.25 Reorder the terms: 2.25 + -3v + v2 = -6.857142857 + 2.25 Combine like terms: -6.857142857 + 2.25 = -4.607142857 2.25 + -3v + v2 = -4.607142857 Factor a perfect square on the left side: (v + -1.5)(v + -1.5) = -4.607142857 Can't calculate square root of the right side. The solution to this equation could not be determined.
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