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Simplifying (3v + -2) + -1(6v2 + -1v + -2) = 0 Reorder the terms: (-2 + 3v) + -1(6v2 + -1v + -2) = 0 Remove parenthesis around (-2 + 3v) -2 + 3v + -1(6v2 + -1v + -2) = 0 Reorder the terms: -2 + 3v + -1(-2 + -1v + 6v2) = 0 -2 + 3v + (-2 * -1 + -1v * -1 + 6v2 * -1) = 0 -2 + 3v + (2 + 1v + -6v2) = 0 Reorder the terms: -2 + 2 + 3v + 1v + -6v2 = 0 Combine like terms: -2 + 2 = 0 0 + 3v + 1v + -6v2 = 0 3v + 1v + -6v2 = 0 Combine like terms: 3v + 1v = 4v 4v + -6v2 = 0 Solving 4v + -6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v'. 2v(2 + -3v) = 0 Ignore the factor 2.Subproblem 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 '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667Solution
v = {0, 0.6666666667}
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