1. Solve the equation 2x^2+10x=0. Check your solution (s) and state the final solution set.

Show all your work.

2x^2 + 10x = 0

we can take out x from both terms and we get:

x (2x + 10) = 0

now either x has to be equal to 0 or 2x + 10 has to be equal to zero in order for equation to be equal to 0.

one solution is x=0 as stated above

other is:

2x + 10 = 0

2x = - 10

x = - 10/2 = - 5

Answers are x=0 and x = - 5.