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Simplifying 3v(v + 5)(v + 1) = 0 Reorder the terms: 3v(5 + v)(v + 1) = 0 Reorder the terms: 3v(5 + v)(1 + v) = 0 Multiply (5 + v) * (1 + v) 3v(5(1 + v) + v(1 + v)) = 0 3v((1 * 5 + v * 5) + v(1 + v)) = 0 3v((5 + 5v) + v(1 + v)) = 0 3v(5 + 5v + (1 * v + v * v)) = 0 3v(5 + 5v + (1v + v2)) = 0 Combine like terms: 5v + 1v = 6v 3v(5 + 6v + v2) = 0 (5 * 3v + 6v * 3v + v2 * 3v) = 0 (15v + 18v2 + 3v3) = 0 Solving 15v + 18v2 + 3v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(5 + 6v + v2) = 0 Factor a trinomial. 3v((5 + v)(1 + v)) = 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 '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Subproblem 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, -5, -1}
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