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Simplifying 4v2 + -11v + -9 = 6 Reorder the terms: -9 + -11v + 4v2 = 6 Solving -9 + -11v + 4v2 = 6 Solving for variable 'v'. Reorder the terms: -9 + -6 + -11v + 4v2 = 6 + -6 Combine like terms: -9 + -6 = -15 -15 + -11v + 4v2 = 6 + -6 Combine like terms: 6 + -6 = 0 -15 + -11v + 4v2 = 0 Factor a trinomial. (-1 + -1v)(15 + -4v) = 0Subproblem 1
Set the factor '(-1 + -1v)' equal to zero and attempt to solve: Simplifying -1 + -1v = 0 Solving -1 + -1v = 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 + -1v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = 0 + 1 -1v = 0 + 1 Combine like terms: 0 + 1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1Subproblem 2
Set the factor '(15 + -4v)' equal to zero and attempt to solve: Simplifying 15 + -4v = 0 Solving 15 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4v = 0 + -15 -4v = 0 + -15 Combine like terms: 0 + -15 = -15 -4v = -15 Divide each side by '-4'. v = 3.75 Simplifying v = 3.75Solution
v = {-1, 3.75}
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