Let p = 4x -7. What is equivalent to (4x - 7)^2 + 16 = 40x - 70 in terms of p?

1 Answer
Jun 1, 2016

p^2-10p+16=0

Explanation:

To rewrite the given equation in terms of p, you need to simplify the equation such that the most number of "4x-7" appears. Thus, factor the right side.

(4x-7)^2+16=40x-70

(4x-7)^2+16=10(4x-7)

Since p=4x-7, replace each 4x-7 with p.

p^2+16=10p

Rewriting the equation in standard form,

color(green)(|bar(ul(color(white)(a/a)color(black)(p^2-10p+16=0)color(white)(a/a)|)))