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Simplifying -3v3 + -7v2 = 4v Reorder the terms: -7v2 + -3v3 = 4v Solving -7v2 + -3v3 = 4v Solving for variable 'v'. Reorder the terms: -4v + -7v2 + -3v3 = 4v + -4v Combine like terms: 4v + -4v = 0 -4v + -7v2 + -3v3 = 0 Factor out the Greatest Common Factor (GCF), '-1v'. -1v(4 + 7v + 3v2) = 0 Factor a trinomial. -1v((4 + 3v)(1 + v)) = 0 Ignore the factor -1.Subproblem 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 '(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 = -1.333333333Subproblem 3
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {0, -1.333333333, -1}
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