Which is a solution to the equation?
(x-2)(x + 5) = 18
x = -10
x = -7
o x = -4
x = -2

Explanation:

There are at least two ways to do this. Method 1 is to FOIL out the left hand side, then subtract 18 from both sides, and apply the quadratic formula or factor

(x-2)(x+5) = 18

x^2+5x-2x-10 = 18

x^2+3x-10 = 18

x^2+3x-10-18 = 0

x^2+3x-28 = 0

(x+7)(x-4) = 0

x+7 = 0 or x-4 = 0

x = -7 or x = 4

Method 2 is to go through each answer choice and plug those x values, one at a time, into the original equation. If you get the same number on both sides, then you found your answer.

So for instance, x = -10 does not work because

(x-2)*(x+5) = 18

(-10-2)*(-10+5) = 18 ... replace every x with -10

(-12)*(-5) = 18

60 = 18 this equation is false, so x = -10 is not a solution

But x = -7 works as method 1 shows above, and we can confirm it as such

(x-2)*(x+5) = 18

(-7-2)*(-7+5) = 18 ... x is replaced with -7

(-9)*(-2) = 18

18 = 18 true equation; confirms x = -7

You should find that choices C and D are similar to choice A, and they won't work.

For the sake of completeness, let's confirm x = 4 as well

(x-2)*(x+5) = 18

(4-2)*(4+5) = 18

(2)*(9) = 18

18 = 18

Both solutions found in method 1 have been confirmed.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00