9v^2+21v+10=

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Solution for 9v^2+21v+10= equation:


Simplifying
9v2 + 21v + 10 = 0

Reorder the terms:
10 + 21v + 9v2 = 0

Solving
10 + 21v + 9v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + 3v)(2 + 3v) = 0

Subproblem 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 = -1.666666667

Subproblem 2

Set the factor '(2 + 3v)' equal to zero and attempt to solve: Simplifying 2 + 3v = 0 Solving 2 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3v = 0 + -2 3v = 0 + -2 Combine like terms: 0 + -2 = -2 3v = -2 Divide each side by '3'. v = -0.6666666667 Simplifying v = -0.6666666667

Solution

v = {-1.666666667, -0.6666666667}

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