6xsquared minus 12x minus 144

x= -4, 6

Step-by-step explanation:

6x^2-12x=144

(6x^2-12x=144)/6

x^2-2x=24

(x+4)(x-6)=0

x+4=0        (x-6)=0

x=-4            x=6

The information given to us is:

- The mixture has 30% alcohol

- There is 16 quarts of it

Multiply 30% by 16 to get what 30% of 16 is.

30% * 16 = 4.8

What is 10% of 16?

10% of 16 is 1.6, because 10 of 1.6 is 16.

How many 10%s become 30%?

3 10%s make a 30%.

Since 10% = 1.6, and 3 10%s make 30%, 3 1.6s must make 30%.

3 1.6s is 4.8, because 1.6 + 1.6 + 1.6 = 4.8.