(y+15)(y+12)=0

Question

Solve the equation!!!!!!!!!!!!!!!!!!!!

Answer 1

Hello, thank you for taking the time to post your question!

When you have an expression that has already been factored like this you can just set each part equal to 0 in order to solve. On this one that means

y + 15 = 0   ==>     y = -15

y + 12 = 0 ==>      y = -12

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

     (y + 15)(y + 12) = 0

Recall the zero product property, which states that if the product of two factors is equal to zero then one or both factors is equal to zero. Using this property, we can set each factor equal to 0 and solve for y. That is,

     y + 15 = 0          and          y + 12 = 0

Solve for y in each case:

     y + 15 = 0

     y + 15 - 15 = 0 - 15

     y + 0 = -15

     y = -15

and

     y + 12 = 0

     y + 12 - 12 = 0 - 12

     y + 0 = -12

     y = -12

Thus, the two solutions to the equation are:     y = -15     and     y = -12