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Simplifying -15V2 = 7V + 2 Reorder the terms: -15V2 = 2 + 7V Solving -15V2 = 2 + 7V Solving for variable 'V'. Reorder the terms: -2 + -7V + -15V2 = 2 + 7V + -2 + -7V Reorder the terms: -2 + -7V + -15V2 = 2 + -2 + 7V + -7V Combine like terms: 2 + -2 = 0 -2 + -7V + -15V2 = 0 + 7V + -7V -2 + -7V + -15V2 = 7V + -7V Combine like terms: 7V + -7V = 0 -2 + -7V + -15V2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 7V + 15V2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 7V + 15V2)' equal to zero and attempt to solve: Simplifying 2 + 7V + 15V2 = 0 Solving 2 + 7V + 15V2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.1333333333 + 0.4666666667V + V2 = 0 Move the constant term to the right: Add '-0.1333333333' to each side of the equation. 0.1333333333 + 0.4666666667V + -0.1333333333 + V2 = 0 + -0.1333333333 Reorder the terms: 0.1333333333 + -0.1333333333 + 0.4666666667V + V2 = 0 + -0.1333333333 Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000 0.0000000000 + 0.4666666667V + V2 = 0 + -0.1333333333 0.4666666667V + V2 = 0 + -0.1333333333 Combine like terms: 0 + -0.1333333333 = -0.1333333333 0.4666666667V + V2 = -0.1333333333 The V term is 0.4666666667V. Take half its coefficient (0.2333333334). Square it (0.05444444448) and add it to both sides. Add '0.05444444448' to each side of the equation. 0.4666666667V + 0.05444444448 + V2 = -0.1333333333 + 0.05444444448 Reorder the terms: 0.05444444448 + 0.4666666667V + V2 = -0.1333333333 + 0.05444444448 Combine like terms: -0.1333333333 + 0.05444444448 = -0.07888888882 0.05444444448 + 0.4666666667V + V2 = -0.07888888882 Factor a perfect square on the left side: (V + 0.2333333334)(V + 0.2333333334) = -0.07888888882 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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