How do you solve #x(x + 9) = 0#?

3 Answers
Nov 10, 2015

Answer:

#x = 0#
#x = -9#

Explanation:

#x(x+9) = 0# is the same as #(x+0)(x+9) = 0#.
So, we know that #x + 0 = 0# and that #x + 9 = 0#.
So, we solve both for #x#, and we get #x = 0# and #x = -9#.

Hope it Helps! :D .

Nov 10, 2015

Answer:

Find out when the factors are equal to zero

Explanation:

So what we have here is a equation with two factors; #x# and #(x+9)#.

To make the expression #x(x+9) = 0#, at least one of the factors has to be 0. This means that either:

# x = 0#

or

#x + 9 = 0 to x = -9 #

Nov 10, 2015

Answer:

#x=0# or #x=-9#.

Explanation:

A product of real numbers is zero if and only if one of the two factors is zero. In your case, the two factors are #x# and #x+9#.

So, one possible case is that the product is zero because #x# is zero.

A second case is that #x+9=0#. To solve this equation, simply subtract nine by both terms:

#x cancel(+9)cancel(-9)=0-9#, and thus #x=-9#

So, the two values #x=0# and #x=-9# annihilate one of the factors each, and so the annihilate the whole product.