Solve the following quadratic equation by factoring. x^2 - 5x = 14

(Answers are in photo)

10 points!!!
Please explain how you got your answer.

x = 7, -2

Step-by-step explanation:

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Work Shown:

x^2 - 5x = 14

x^2 - 5x - 14 = 0

(x-7)(x+2) = 0 .... this step is further explained below

x-7 = 0 or x+2 = 0

x = 7 or x = -2

The order of the solutions does not matter.

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To factor x^2-5x-14, we need to find two numbers that multiply to -14 and add to -5. This is done through trial and error. I recommend making a table to help organize everything. See the diagram below.

After a bit of guess work, you should find that -7 and 2 are the two values we're after

-7 + 2 = -5

-7 * 2 = -14

This is why x^2-5x-14 = (x-7)(x+2)

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total