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Simplifying 21v2 + 165v + -216 = 0 Reorder the terms: -216 + 165v + 21v2 = 0 Solving -216 + 165v + 21v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3'. 3(-72 + 55v + 7v2) = 0 Factor a trinomial. 3((-9 + -1v)(8 + -7v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9Subproblem 2
Set the factor '(8 + -7v)' equal to zero and attempt to solve: Simplifying 8 + -7v = 0 Solving 8 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7v = 0 + -8 -7v = 0 + -8 Combine like terms: 0 + -8 = -8 -7v = -8 Divide each side by '-7'. v = 1.142857143 Simplifying v = 1.142857143Solution
v = {-9, 1.142857143}
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