we can factorize this. think of two numbers that we can multiply to get +144 and add to get -24. the two numbers are -12 and -12

thus we can set up our brackets and place these numbers in the proper places:

...........i square rooted both sides

alternatively, if you can't factorize, use the quadratic formula.

the solutions to are given by the formula:

in this problem, a = 1, b = -24 and c = 144

you can use the formula:and few simple products for algebra

(t+7)^2

(c-2d)^2

example:

the longer way: write it out as (t + 7)(t + 7). now multiply everything in the second set of brackets by everything in the first set.

(t + 7)(t + 7) = t*t + t*7 + 7*t + 7*7 =