SOLUTION: if (x-2)(x+3)=k, what is (x-4)(x+5)?

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Question 836110: if (x-2)(x+3)=k, what is (x-4)(x+5)?
Found 2 solutions by reviewermath, josgarithmetic:
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
If (x-2)(x+3)=k, what is (x-4)(x+5)?
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A:
(x-4)(x+5) = x%5E2+%2B+x+-+20
= x%5E2+%2B+x+-+6+-+14
= (x - 2)(x + 3) - 14
= highlight%28k+-+14%29

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)(x+3)=k, what is (x-4)(x+5)

k=x%5E2%2Bx-6
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%28x-4%29%28x%2B5%29=x%5E2%2B1%2Ax-20=x%5E2%2Bx-20, a portion of which is k.

c is some new unknown variable.
-6%2Bc=-20
c=-20%2B6
highlight_green%28c=-14%29
Reexpress x^2+x-20, using c.
x%5E2%2Bx-6-14
%28x%5E2%2Bx-6%29-14
highlight%28k-14%29
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(x-4)(x+5)=k-14, if (x-2)(x+3)=k