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Simplifying 3v2 + 36 = 21v Reorder the terms: 36 + 3v2 = 21v Solving 36 + 3v2 = 21v Solving for variable 'v'. Reorder the terms: 36 + -21v + 3v2 = 21v + -21v Combine like terms: 21v + -21v = 0 36 + -21v + 3v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -7v + v2) = 0 Factor a trinomial. 3((3 + -1v)(4 + -1v)) = 0 Ignore the factor 3.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 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {3, 4}
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