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Simplifying 3v(7v2 + -22v + 3) = 0 Reorder the terms: 3v(3 + -22v + 7v2) = 0 (3 * 3v + -22v * 3v + 7v2 * 3v) = 0 (9v + -66v2 + 21v3) = 0 Solving 9v + -66v2 + 21v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(3 + -22v + 7v2) = 0 Factor a trinomial. 3v((1 + -7v)(3 + -1v)) = 0 Ignore the factor 3.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 '(1 + -7v)' equal to zero and attempt to solve: Simplifying 1 + -7v = 0 Solving 1 + -7v = 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 + -7v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7v = 0 + -1 -7v = 0 + -1 Combine like terms: 0 + -1 = -1 -7v = -1 Divide each side by '-7'. v = 0.1428571429 Simplifying v = 0.1428571429Subproblem 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, 0.1428571429, 3}
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