Question

Ng the Zero Product Property Warm-Up Which are solutions of the equation (x + 5)(x-3) = 0?

Answer 1

For this case we have a factorized quadratic equation. We equal each factor to zero and thus find the roots:

$x + 5 = 0$

Subtracting 5 from both sides we have:

$x = -5$

Thus, the first solution of the equation is:

$x_ {1} = - 5$

On the other hand we have:

$x-3 = 0$

Adding 3 to both sides:

$x = 3$

Thus, the second solution of the equation is:

$x_ {2} = 3$

Answer:

The solutions of the equation are:

$x_ {1} = - 5\\x_ {2} = 3$