Question

Solve by factoringX^2+30x+150=-75

Answer 1

Given:

The equation given is ,

`x^2+30x+150=-75`

Required:

To solve the equation by factoring.

Answer:

Let us solve the equation by factoring it.

`\begin{gathered} x^2+30x+150=-75 \\ x^2+30x+150+75=0 \\ x^2+30x+225=0 \\ x^2+15x+15x+225=0 \\ x(x+15)+15(x+15)=0 \\ (x+15)(x+15)=0 \\ (x+15)=0,(x+15)=0 \\ x=-15,-15 \end{gathered}`

Final Answer:

The solution of the given equation is,

`x=-15,-15`