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Simplifying 8v2 = 20v + -8 Reorder the terms: 8v2 = -8 + 20v Solving 8v2 = -8 + 20v Solving for variable 'v'. Reorder the terms: 8 + -20v + 8v2 = -8 + 20v + 8 + -20v Reorder the terms: 8 + -20v + 8v2 = -8 + 8 + 20v + -20v Combine like terms: -8 + 8 = 0 8 + -20v + 8v2 = 0 + 20v + -20v 8 + -20v + 8v2 = 20v + -20v Combine like terms: 20v + -20v = 0 8 + -20v + 8v2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -5v + 2v2) = 0 Factor a trinomial. 4((1 + -2v)(2 + -1v)) = 0 Ignore the factor 4.Subproblem 1
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 = 0.5Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {0.5, 2}
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