Solve for v v^2+11v+30=0

$v^{2} + 11 v + 30 = 0$

Factor $v^{2} + 11 v + 30$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $30$ and whose sum is $11$ .

$5, 6$

Write the factored form using these integers.

$(v + 5) (v + 6) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$v + 5 = 0$

$v + 6 = 0$

Set $v + 5$ equal to $0$ and solve for $v$ .

Set $v + 5$ equal to $0$ .

$v + 5 = 0$

Subtract $5$ from both sides of the equation.

$v = - 5$

Set $v + 6$ equal to $0$ and solve for $v$ .

Set $v + 6$ equal to $0$ .

$v + 6 = 0$

Subtract $6$ from both sides of the equation.

$v = - 6$

The final solution is all the values that make $(v + 5) (v + 6) = 0$ true.

$v = - 5, - 6$

Solve for v v^2+11v+30=0

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