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Simplifying 2v3(5v2 + -14v + -3) = 0 Reorder the terms: 2v3(-3 + -14v + 5v2) = 0 (-3 * 2v3 + -14v * 2v3 + 5v2 * 2v3) = 0 (-6v3 + -28v4 + 10v5) = 0 Solving -6v3 + -28v4 + 10v5 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v3'. 2v3(-3 + -14v + 5v2) = 0 Factor a trinomial. 2v3((-1 + -5v)(3 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'v3' equal to zero and attempt to solve: Simplifying v3 = 0 Solving v3 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -5v)' equal to zero and attempt to solve: Simplifying -1 + -5v = 0 Solving -1 + -5v = 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 + -5v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5v = 0 + 1 -5v = 0 + 1 Combine like terms: 0 + 1 = 1 -5v = 1 Divide each side by '-5'. v = -0.2 Simplifying v = -0.2Subproblem 3
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 = 3Solution
v = {-0.2, 3}
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