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Simplifying 2v2 + -20v + 24 = -8 Reorder the terms: 24 + -20v + 2v2 = -8 Solving 24 + -20v + 2v2 = -8 Solving for variable 'v'. Reorder the terms: 24 + 8 + -20v + 2v2 = -8 + 8 Combine like terms: 24 + 8 = 32 32 + -20v + 2v2 = -8 + 8 Combine like terms: -8 + 8 = 0 32 + -20v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -10v + v2) = 0 Factor a trinomial. 2((2 + -1v)(8 + -1v)) = 0 Ignore the factor 2.Subproblem 1
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 = 2Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 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 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {2, 8}
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