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Simplifying 0 = 6v2 + -28v + 16 Reorder the terms: 0 = 16 + -28v + 6v2 Solving 0 = 16 + -28v + 6v2 Solving for variable 'v'. Combine like terms: 0 + -16 = -16 -16 + 28v + -6v2 = 16 + -28v + 6v2 + -16 + 28v + -6v2 Reorder the terms: -16 + 28v + -6v2 = 16 + -16 + -28v + 28v + 6v2 + -6v2 Combine like terms: 16 + -16 = 0 -16 + 28v + -6v2 = 0 + -28v + 28v + 6v2 + -6v2 -16 + 28v + -6v2 = -28v + 28v + 6v2 + -6v2 Combine like terms: -28v + 28v = 0 -16 + 28v + -6v2 = 0 + 6v2 + -6v2 -16 + 28v + -6v2 = 6v2 + -6v2 Combine like terms: 6v2 + -6v2 = 0 -16 + 28v + -6v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 14v + -3v2) = 0 Factor a trinomial. 2((-4 + v)(2 + -3v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + v)' equal to zero and attempt to solve: Simplifying -4 + v = 0 Solving -4 + v = 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 + v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + v = 0 + 4 v = 0 + 4 Combine like terms: 0 + 4 = 4 v = 4 Simplifying v = 4Subproblem 2
Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 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 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667Solution
v = {4, 0.6666666667}
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