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Simplifying 20v2 + 100v + -55 = 0 Reorder the terms: -55 + 100v + 20v2 = 0 Solving -55 + 100v + 20v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(-11 + 20v + 4v2) = 0 Factor a trinomial. 5((-11 + -2v)(1 + -2v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-11 + -2v)' equal to zero and attempt to solve: Simplifying -11 + -2v = 0 Solving -11 + -2v = 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 + -2v = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2v = 0 + 11 -2v = 0 + 11 Combine like terms: 0 + 11 = 11 -2v = 11 Divide each side by '-2'. v = -5.5 Simplifying v = -5.5Subproblem 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 = {-5.5, 0.5}
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