Question

3x^2+7x-24=13x
Please help me

Answer 1

Step 1. Move all terms to one side.


`3 x^(2) +7x-24-13x=0`

Step 2. Simplify
`3 x^(2) +7x-24-13x=0` to
`3 x^(2) -6x-24`


`3 x^(2) -6x-24=0`

Step 3. Factor out the common term 3


`3( x^(2) -2x-8)=0`

Step 4. Factor
`x^(2) - 2^(x) -8`

1. Ask: Which two numbers add up to -2 and multiply to -8?

2. Answer: -4 and 2

3. Rewrite the expression as
`(x-4)(x+2):`


`3(x-4)(x+2)=0`

Step 5. solve for
`x`

1. Ask: When will
`(x-4)(x+2)` equal zero?

2. Answer: When
`x-4=0` or
`x+2=0`

3. Solve each of the 2 equations above:


`x=4,2`

Done! :)
`x=4,2` is your answer.