Please factor the following:

( a- 7) ( a+6) =0

a=7      a = -6

Step-by-step explanation:

a^2 -a -42 =0

What 2 numbers multiply to -42 and add to -1

-7 * 6 = -42

-7+6 = -1

( a- 7) ( a+6) =0

You only ask use to factor but since it is equal to zero we can solve using the zero product property

a-7 =0   a+6 =0

a=7      a = -6

(a+6)(a-7)

Step-by-step explanation:

One way you can think of factoring is finding two numbers that multiply to 42 and adding two numbers that will give you -1.

We can write out factors for 42.

42: 1,2,3,6,7,14,21,42

Out of this list, we know that 6 and 7 would be our best choice.

6×-7=-42

6+(-7)=-1

Now, we know that the best factors will be (a+6)(a-7). We can also distribute to check our work.

(a+6)(a-7)                 [distribute by FOIL]

a²-7a+6a-42             [combine like terms]

a²-a-42

We have confirmed that (a+6)(a-7) is the correct factor.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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step-by-step explanation: