For what values of x is x2 + 2x = 24 true?

–6 and –4
–4 and 6
4 and –6
6 and 4

You can solve this 2 ways: plug in all of the options or solve for x.
i going to solve for x.

given: x^2+2x=24     (subtract 24 on both sides to get make it look like x^2+x+1)

x^2+2x-24=0    (now factor x^2+2x-24 out)

x^2+2x-24 --> (x-4)(x+6)

new equation: (x-4)(x+6)=0   (now make them both equl zero)

new equaions:    x-4=0      x+6=0     (now solve for x for both)

x-4=0        x+6=0
   x=4            x=-6
your answer is 4 and -6.
if you were not taught how to do what i just did then i can message you how to plug those numbers into  x^2+2x=24 to find the answer.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.