Solve the equation

40^2 + 4a = 0

What I did was 4a (10a + 1) = 0 then I'm not sure what to do next...

40 ^ 2 + 4a = 0

1600 + 4a = 0

4a = - 1600 Divide both sides with 4

a = - 1600 / 4

a = -400

According to what you show in your solution, your equation was probably

40a^2 + 4a = 0
then
4a(10a + 1) = 0
so 4a = 0 or 10a+1 = 0
a = 0 or a = -1/10

To solve the equation 40^2 + 4a = 0, you correctly factored out a 4 from the equation to get 4a(10a + 1) = 0. Now, to solve this equation, we can set each factor equal to 0 and solve for a.

Setting 4a = 0, we can divide both sides of the equation by 4 to find that a = 0.

Setting (10a + 1) = 0, we subtract 1 from both sides of the equation to find 10a = -1. Then divide both sides by 10 to solve for a, giving us a = -1/10.

Thus, the solutions to the equation 40^2 + 4a = 0 are a = 0 and a = -1/10.