Question

Solve for xa1" title="\bold{x {}^{2} + 5x + 6 = 0}" alt="\bold{x {}^{2} + 5x + 6 = 0}" align="absmiddle" class="latex-formula">

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Answer 1

Answer:

x=-3           x=-2

Step-by-step explanation:

x^2 +5x+6 =0

We need to factor the equation

What two numbers multiply to 6 and add to 5

3*2 = 6

3+2 =5

(x+3)(x+2)

Using the zero product property

x+3 =0  x+2 =0

x=-3           x=-2

Answer 2

Answer:

• x = -2
• x = -3

Step-by-step explanation:

$\bf {x}^{2} + 5x + 6 = 0$

Write the equation in factored form.

$\bf (x + 2)(x + 3) = 0$

Separate equations, and set each factor to zero.

$\bf x + 2 = 0$

$\bf x + 3 = 0$

Rearrange and isolate the variable to find the solutions

$\bf x = - 2$

$\bf x = - 3$

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