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Simplifying 30v2 + v + -20 = 0 Reorder the terms: -20 + v + 30v2 = 0 Solving -20 + v + 30v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -6v)(4 + -5v) = 0Subproblem 1
Set the factor '(-5 + -6v)' equal to zero and attempt to solve: Simplifying -5 + -6v = 0 Solving -5 + -6v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6v = 0 + 5 -6v = 0 + 5 Combine like terms: 0 + 5 = 5 -6v = 5 Divide each side by '-6'. v = -0.8333333333 Simplifying v = -0.8333333333Subproblem 2
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 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 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Solution
v = {-0.8333333333, 0.8}
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