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Simplifying 162v2 + 204v + -16 = 0 Reorder the terms: -16 + 204v + 162v2 = 0 Solving -16 + 204v + 162v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 102v + 81v2) = 0 Factor a trinomial. 2((-4 + -3v)(2 + -27v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -3v)' equal to zero and attempt to solve: Simplifying -4 + -3v = 0 Solving -4 + -3v = 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 + -3v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3v = 0 + 4 -3v = 0 + 4 Combine like terms: 0 + 4 = 4 -3v = 4 Divide each side by '-3'. v = -1.333333333 Simplifying v = -1.333333333Subproblem 2
Set the factor '(2 + -27v)' equal to zero and attempt to solve: Simplifying 2 + -27v = 0 Solving 2 + -27v = 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 + -27v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -27v = 0 + -2 -27v = 0 + -2 Combine like terms: 0 + -2 = -2 -27v = -2 Divide each side by '-27'. v = 0.07407407407 Simplifying v = 0.07407407407Solution
v = {-1.333333333, 0.07407407407}
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