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Simplifying -7v3(-3v2 + 9v + -6) = 0 Reorder the terms: -7v3(-6 + 9v + -3v2) = 0 (-6 * -7v3 + 9v * -7v3 + -3v2 * -7v3) = 0 (42v3 + -63v4 + 21v5) = 0 Solving 42v3 + -63v4 + 21v5 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '21v3'. 21v3(2 + -3v + v2) = 0 Factor a trinomial. 21v3((1 + -1v)(2 + -1v)) = 0 Ignore the factor 21.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 + -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 '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {1, 2}
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