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Simplifying 6v2 + 10v = 24 Reorder the terms: 10v + 6v2 = 24 Solving 10v + 6v2 = 24 Solving for variable 'v'. Reorder the terms: -24 + 10v + 6v2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 10v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 5v + 3v2) = 0 Factor a trinomial. 2((-3 + -1v)(4 + -3v)) = 0 Ignore the factor 2.Subproblem 1
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 = -3Subproblem 2
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 = 1.333333333Solution
v = {-3, 1.333333333}
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