Answer:
Step-by-step explanation:
[tex]x^{2} + 5x = 0[/tex]
On the left-hand side of the equation, both terms have a common factor of [tex]x[/tex], so we can pull that out:
[tex]x(x + 5) = 0[/tex]
We can now create two equations from this to solve for [tex]x[/tex]:
[tex]x = 0[/tex]
[tex]x + 5 = 0[/tex]
The first equation doesn't need any further work, but the second equation can be reduced by substracting [tex]5[/tex] from both sides to get [tex]x[/tex] by itself on the left-hand side:
[tex]x = -5[/tex]
Therefore, the two solutions to the problem are [tex]x = 0, -5[/tex]
