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Simplifying 21v2 + 65v + 50 = 0 Reorder the terms: 50 + 65v + 21v2 = 0 Solving 50 + 65v + 21v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + 3v)(10 + 7v) = 0Subproblem 1
Set the factor '(5 + 3v)' equal to zero and attempt to solve: Simplifying 5 + 3v = 0 Solving 5 + 3v = 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 + 3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3v = 0 + -5 3v = 0 + -5 Combine like terms: 0 + -5 = -5 3v = -5 Divide each side by '3'. v = -1.666666667 Simplifying v = -1.666666667Subproblem 2
Set the factor '(10 + 7v)' equal to zero and attempt to solve: Simplifying 10 + 7v = 0 Solving 10 + 7v = 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 + 7v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7v = 0 + -10 7v = 0 + -10 Combine like terms: 0 + -10 = -10 7v = -10 Divide each side by '7'. v = -1.428571429 Simplifying v = -1.428571429Solution
v = {-1.666666667, -1.428571429}
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