Question

Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

x = –7 or x = 6
x = –7 or x = –6
x = –6 or x = 7
x = 6 or x = 7

Answer 1

x=_7 or x=6
that's the right answer.

Answer 2

Answer: Our solutions are x= -7 or x = 6.

Explanation:

Since we have given that

`x^2+x-30=12`

We need to find the solutions to the above equations:

First we calculate the constants:

`x^2+x-30=12\\\\x^2+x-30-12=0\\\\x^2+x-42=0`

Now, we will split the middle term:

`x^2+x-42=0\\\\x^2+7x-6x-42=0\\\\x(x+7)-6(x-7)=0\\\\(x+7)(x-6)=0`

As we know that

a.b=0

⇒either a = 0 or b = 0

`(x+7)=0\ or\ (x-6)=0\\\\x=-7,6`

So, our solutions are x= -7 or x = 6.