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Simplifying 3v2 + 4v + -4 = 0 Reorder the terms: -4 + 4v + 3v2 = 0 Solving -4 + 4v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + -1v)(2 + -3v) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, 0.6666666667}
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