Question

What is x in (2x+10)(2x+6)= 96 meters squared

Answer 1

It's factoring and I usually know how to factor but I'm stumped

Answer 2

Distribute it properly:

\[(a+b)(c+d) = ac + ad + bc + bd\]

Answer 3

I did that. and then I got 4x squared + 32x +60 and then that equals to 96 meters squared, but then I get stumped after

Answer 4

2x+6=t
2x+10=t+4
t(t+4)=96
t^2+4t=96
t^2+4t+4=100
(t+2)^2=100
t+2=+10 or -10

Answer 5

(2x+10)(2x+6)=96 multiplie term by term
2x*2x +2x*6 +10*2x +10*6 =96
4x^2 +12x +20x +60 =96
4x^2 +32x +60 =96 add to both sides (-96)
4x^2 +32x -36 =0 divide both sides by 4
x^2 +8x -9 =0
(x+9)(x-1)=0
x+9=0
x=-9
x-1=0
x=1

so because a length not can being negativ so than x=1 will be the right answer

good luck

bye