Question

Solve: 3x²+9x+6 = 0Thank you.​

Answer 1

Answer:

$\boxed{\boxed{\sf x=-1, -2}}$

Step-by-step explanation:

$\sf 3x^2+9x+6 = 0$

Factor out common term → 3

$\sf 3(x^2+3x+2)=0$

Now, let's factor x^2+3x+2:

find the two numbers that add up to 3 and multiply to 2:- 1 and 2

Rewrite expression:

$\sf (x+1)(x+2)$

→ $\sf x+1=0$

→ $\sf x+2=0$

Solve each of the two equations:

$\sf x=-1,-2$

- Hope it helps

- Have a good day!

Answer 2

Given quadrant equation:

3x² + 9x + 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 3 × 6 = 18

→ Sum of coefficient of x² ans constant term = 3 + 6 = 9

So the given equation can be written as,

⇛3x² + 6x + 3x + 6 = 0

On taking the common terms, we get

⇛3x(x + 2) + 3(x + 2) = 0

On grouping the common terms, we get

⇛(3x + 3)(x + 2) = 0

Here either (3x + 3) = 0 or (x + 2) = 0. So,

⇛3x + 3 = 0 or x + 2 = 0

⇛3x = -3 or x = -2

⇛x = -3/3 or x = -2

⇛x = -1 or x = -2

also read similar questions:- These are the two roots of the equation.

Julian used these steps to solve the equation 9x=?6+3(3x+2) 9 x = - 6 + 3 ( 3 x + 2 ) . Which choice describes the meaning of his result, 0=0 ?

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