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Simplifying -3v3 + 7v2 = 6v Reorder the terms: 7v2 + -3v3 = 6v Solving 7v2 + -3v3 = 6v Solving for variable 'v'. Reorder the terms: -6v + 7v2 + -3v3 = 6v + -6v Combine like terms: 6v + -6v = 0 -6v + 7v2 + -3v3 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(-6 + 7v + -3v2) = 0Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(-6 + 7v + -3v2)' equal to zero and attempt to solve: Simplifying -6 + 7v + -3v2 = 0 Solving -6 + 7v + -3v2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2 + -2.333333333v + v2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.333333333v + -2 + v2 = 0 + -2 Reorder the terms: 2 + -2 + -2.333333333v + v2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.333333333v + v2 = 0 + -2 -2.333333333v + v2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.333333333v + v2 = -2 The v term is -2.333333333v. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333v + 1.361111112 + v2 = -2 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333v + v2 = -2 + 1.361111112 Combine like terms: -2 + 1.361111112 = -0.638888888 1.361111112 + -2.333333333v + v2 = -0.638888888 Factor a perfect square on the left side: (v + -1.166666667)(v + -1.166666667) = -0.638888888 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.Solution
v = {0}
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