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Simplifying 4v2 + 3v + -22 = 0 Reorder the terms: -22 + 3v + 4v2 = 0 Solving -22 + 3v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-11 + -4v)(2 + -1v) = 0Subproblem 1
Set the factor '(-11 + -4v)' equal to zero and attempt to solve: Simplifying -11 + -4v = 0 Solving -11 + -4v = 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 + -4v = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4v = 0 + 11 -4v = 0 + 11 Combine like terms: 0 + 11 = 11 -4v = 11 Divide each side by '-4'. v = -2.75 Simplifying v = -2.75Subproblem 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 = {-2.75, 2}
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