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Simplifying 3v2 = -48 + 14v Solving 3v2 = -48 + 14v Solving for variable 'v'. Reorder the terms: 48 + -14v + 3v2 = -48 + 14v + 48 + -14v Reorder the terms: 48 + -14v + 3v2 = -48 + 48 + 14v + -14v Combine like terms: -48 + 48 = 0 48 + -14v + 3v2 = 0 + 14v + -14v 48 + -14v + 3v2 = 14v + -14v Combine like terms: 14v + -14v = 0 48 + -14v + 3v2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 16 + -4.666666667v + v2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -4.666666667v + -16 + v2 = 0 + -16 Reorder the terms: 16 + -16 + -4.666666667v + v2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4.666666667v + v2 = 0 + -16 -4.666666667v + v2 = 0 + -16 Combine like terms: 0 + -16 = -16 -4.666666667v + v2 = -16 The v term is -4.666666667v. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667v + 5.444444448 + v2 = -16 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667v + v2 = -16 + 5.444444448 Combine like terms: -16 + 5.444444448 = -10.555555552 5.444444448 + -4.666666667v + v2 = -10.555555552 Factor a perfect square on the left side: (v + -2.333333334)(v + -2.333333334) = -10.555555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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