2x^2+15x=8factor or solve as indicated, show all work.please and thank u!

Mathematics

1 answer:

labwork [276]3 years ago

8 0

Answer: x= -8 or x = 1/2

Step-by-step explanation:

2x^2 + 15x = 8 Subtract 8 from both sides to let the whole equation equal 0

- 8 -8

2x^2 + 15x - 8 = 0 Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1. 16 times -1 is -16 and 16 plus -1 is 15.

Rewrite the whole equation in this form,

2x^2 +16x - 1x - 8 = 0 Factor on the left side

2x ( x + 8) -1 (x + 8) = 0 Now factor out x + 8

(x + 8) (2x -1) = 0 Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.

x + 8 = 0 or 2x - 1 = 0

-8 -8 +1 +1

x = - 8 2x = 1

x = 1/2

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