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Simplifying 2v3 + 21v2 + 10v = 0 Reorder the terms: 10v + 21v2 + 2v3 = 0 Solving 10v + 21v2 + 2v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(10 + 21v + 2v2) = 0 Factor a trinomial. v((10 + v)(1 + 2v)) = 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 '(10 + v)' equal to zero and attempt to solve: Simplifying 10 + v = 0 Solving 10 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + v = 0 + -10 v = 0 + -10 Combine like terms: 0 + -10 = -10 v = -10 Simplifying v = -10Subproblem 3
Set the factor '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 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 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Solution
v = {0, -10, -0.5}
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