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Simplifying 6v2 + 54v + -60 = 0 Reorder the terms: -60 + 54v + 6v2 = 0 Solving -60 + 54v + 6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6'. 6(-10 + 9v + v2) = 0 Factor a trinomial. 6((-10 + -1v)(1 + -1v)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-10 + -1v)' equal to zero and attempt to solve: Simplifying -10 + -1v = 0 Solving -10 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1v = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1v = 0 + 10 -1v = 0 + 10 Combine like terms: 0 + 10 = 10 -1v = 10 Divide each side by '-1'. v = -10 Simplifying v = -10Subproblem 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 = 1Solution
v = {-10, 1}
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