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Simplifying 10v2 + 11v + -8 = 0 Reorder the terms: -8 + 11v + 10v2 = 0 Solving -8 + 11v + 10v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + -5v)(1 + -2v) = 0Subproblem 1
Set the factor '(-8 + -5v)' equal to zero and attempt to solve: Simplifying -8 + -5v = 0 Solving -8 + -5v = 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 + -5v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5v = 0 + 8 -5v = 0 + 8 Combine like terms: 0 + 8 = 8 -5v = 8 Divide each side by '-5'. v = -1.6 Simplifying v = -1.6Subproblem 2
Set the factor '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 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 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5Solution
v = {-1.6, 0.5}
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