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Simplifying 3v2 + v + -44 = 0 Reorder the terms: -44 + v + 3v2 = 0 Solving -44 + v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -1v)(11 + -3v) = 0Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4Subproblem 2
Set the factor '(11 + -3v)' equal to zero and attempt to solve: Simplifying 11 + -3v = 0 Solving 11 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3v = 0 + -11 -3v = 0 + -11 Combine like terms: 0 + -11 = -11 -3v = -11 Divide each side by '-3'. v = 3.666666667 Simplifying v = 3.666666667Solution
v = {-4, 3.666666667}
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