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Simplifying 3v7 + 30v6 + 75v5 = 0 Reorder the terms: 75v5 + 30v6 + 3v7 = 0 Solving 75v5 + 30v6 + 3v7 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v5'. 3v5(25 + 10v + v2) = 0 Factor a trinomial. 3v5((5 + v)(5 + v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'v5' equal to zero and attempt to solve: Simplifying v5 = 0 Solving v5 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v5 = 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 '(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 '(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 = -5Solution
v = {-5, -5}
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