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Simplifying v3 + -21v2 + -22v = 0 Reorder the terms: -22v + -21v2 + v3 = 0 Solving -22v + -21v2 + v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-22 + -21v + v2) = 0 Factor a trinomial. v((-1 + -1v)(22 + -1v)) = 0Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(-1 + -1v)' equal to zero and attempt to solve: Simplifying -1 + -1v = 0 Solving -1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = 0 + 1 -1v = 0 + 1 Combine like terms: 0 + 1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1Subproblem 3
Set the factor '(22 + -1v)' equal to zero and attempt to solve: Simplifying 22 + -1v = 0 Solving 22 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1v = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1v = 0 + -22 -1v = 0 + -22 Combine like terms: 0 + -22 = -22 -1v = -22 Divide each side by '-1'. v = 22 Simplifying v = 22Solution
v = {0, -1, 22}
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