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Simplifying v(11v + 3) + -8 = 0 Reorder the terms: v(3 + 11v) + -8 = 0 (3 * v + 11v * v) + -8 = 0 (3v + 11v2) + -8 = 0 Reorder the terms: -8 + 3v + 11v2 = 0 Solving -8 + 3v + 11v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -1v)(8 + -11v) = 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 '(8 + -11v)' equal to zero and attempt to solve: Simplifying 8 + -11v = 0 Solving 8 + -11v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11v = 0 + -8 -11v = 0 + -8 Combine like terms: 0 + -8 = -8 -11v = -8 Divide each side by '-11'. v = 0.7272727273 Simplifying v = 0.7272727273Solution
v = {-1, 0.7272727273}
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