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Simplifying 3v2 + -45 = -6v Reorder the terms: -45 + 3v2 = -6v Solving -45 + 3v2 = -6v Solving for variable 'v'. Reorder the terms: -45 + 6v + 3v2 = -6v + 6v Combine like terms: -6v + 6v = 0 -45 + 6v + 3v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + 2v + v2) = 0 Factor a trinomial. 3((-5 + -1v)(3 + -1v)) = 0 Ignore the factor 3.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 '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {-5, 3}
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