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Simplifying 6v2 = 110 + -8v Solving 6v2 = 110 + -8v Solving for variable 'v'. Reorder the terms: -110 + 8v + 6v2 = 110 + -8v + -110 + 8v Reorder the terms: -110 + 8v + 6v2 = 110 + -110 + -8v + 8v Combine like terms: 110 + -110 = 0 -110 + 8v + 6v2 = 0 + -8v + 8v -110 + 8v + 6v2 = -8v + 8v Combine like terms: -8v + 8v = 0 -110 + 8v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-55 + 4v + 3v2) = 0 Factor a trinomial. 2((-5 + -1v)(11 + -3v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 2
Set the factor '(11 + -3v)' equal to zero and attempt to solve: Simplifying 11 + -3v = 0 Solving 11 + -3v = 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 + -3v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3v = 0 + -11 -3v = 0 + -11 Combine like terms: 0 + -11 = -11 -3v = -11 Divide each side by '-3'. v = 3.666666667 Simplifying v = 3.666666667Solution
v = {-5, 3.666666667}
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