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Simplifying 10v6 + 28v5 + -6v4 = 0 Reorder the terms: -6v4 + 28v5 + 10v6 = 0 Solving -6v4 + 28v5 + 10v6 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v4'. 2v4(-3 + 14v + 5v2) = 0 Factor a trinomial. 2v4((-3 + -1v)(1 + -5v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v4 = 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 '(-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 3
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 = 0.2Solution
v = {-3, 0.2}
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