Solve the equation $$ x^{2}+5 x+6=0 $$ by factoring. $$ x=\square $$ If there is more than 1 solution, separate the values with a comma.

Question

UpStudy AI · Accepted Answer

To factor the quadratic equation x² + 5x + 6 = 0, we look for two numbers that multiply to 6 and add to 5. These numbers are 2 and 3.

Thus, we can factor the equation as:
 (x + 2)(x + 3) = 0

Setting each factor equal to zero gives:
 x + 2 = 0  or  x + 3 = 0

Solving these:
 x = −2  or  x = −3

So, x = -2, -3.
x = -2, -3

Solve the equation \( x^{2}+5 x+6=0 \) by factoring. \[ x=\square \] If there is more than 1 solution, separate the values with a comma.