Solve for r r^2+3r+2=0

$r^{2} + 3 r + 2 = 0$

Step 1

Factor $r^{2} + 3 r + 2$ 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 $2$ and whose sum is $3$ .

$1, 2$

Write the factored form using these integers.

$(r + 1) (r + 2) = 0$

Step 2

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

$r + 1 = 0$

$r + 2 = 0$

Step 3

Set $r + 1$ equal to $0$ and solve for $r$ .

Set $r + 1$ equal to $0$ .

$r + 1 = 0$

Subtract $1$ from both sides of the equation.

$r = - 1$

Step 4

Set $r + 2$ equal to $0$ and solve for $r$ .

Set $r + 2$ equal to $0$ .

$r + 2 = 0$

Subtract $2$ from both sides of the equation.

$r = - 2$

Step 5

The final solution is all the values that make $(r + 1) (r + 2) = 0$ true.

$r = - 1, - 2$

Solve for r r^2+3r+2=0

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