Question

Solve by factoring. 3x^2+15x+18=0 Show work please :)

Answer 1

Answer:

x = -3, -2

Step-by-step explanation:

3x² + 15x + 18 = 0

3(x² + 5x + 6) = 0

x² + 3x + 2x + 6 = 0

x(x + 3) + 2(x + 3) = 0

(x + 3)(x + 2) = 0

x = -3, -2

Answer 2

Answer:

x = -3 or x = -2

Step-by-step explanation:

Our equation is: $3x^2+15x+18=0$ .

We see that all three terms are multiples of 3, so let's just divide both sides by 3 to simplify: $\frac{3x^2+15x+18}{3} =\frac{0}{3}$ . We now have: $x^2+5x+6=0$.

To factor this, we want to look at the pairs of factors of the constant 6 and see which pair will add up to 5 (from the 5x). After some searching, we can easily see that 3 * 2 = 6 and 3 + 2 = 5, so this is the pair we're looking for. Then, we factor: $x^2+5x+6=(x + 3)(x + 2)=0$.

Finally, to solve, we know that if x + 3 = 0 or if x + 2 = 0, then the product will be 0, so: x + 3 = 0 --> x = -3      OR      x + 2 = 0 --> x = -2

Thus, the answer is: x = -3 or x = -2.

Hope this helps!