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Simplifying 3v2 + -2 + -5v = 0 Reorder the terms: -2 + -5v + 3v2 = 0 Solving -2 + -5v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -3v)(2 + -1v) = 0Subproblem 1
Set the factor '(-1 + -3v)' equal to zero and attempt to solve: Simplifying -1 + -3v = 0 Solving -1 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3v = 0 + 1 -3v = 0 + 1 Combine like terms: 0 + 1 = 1 -3v = 1 Divide each side by '-3'. v = -0.3333333333 Simplifying v = -0.3333333333Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {-0.3333333333, 2}
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