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Simplifying 6v2 + 2v + -25 = -5 Reorder the terms: -25 + 2v + 6v2 = -5 Solving -25 + 2v + 6v2 = -5 Solving for variable 'v'. Reorder the terms: -25 + 5 + 2v + 6v2 = -5 + 5 Combine like terms: -25 + 5 = -20 -20 + 2v + 6v2 = -5 + 5 Combine like terms: -5 + 5 = 0 -20 + 2v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + v + 3v2) = 0 Factor a trinomial. 2((-2 + -1v)(5 + -3v)) = 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 '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 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 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {-2, 1.666666667}
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