Question

Solve the quadratic equation by factoring 9x2+24+20=4

Answer 1

Final answer is
`x=-(4)/(3)` and
`x=-(4)/(3)`.

Explanation:

Given equation is
`9x^2+24x+20=4`.

Now we need to solve that by factoring.

`9x^2+24x+20=4`

`9x^2+24x+20-4=0`

`9x^2+24x+16=0`

`9x^2+12x+12x+16=0`

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

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

`(3x+4)=0`,
`(3x+4)=0`

`3x+4=0`,
`3x+4=0`

`3x=-4`,
`3x=-4`

`x=-(4)/(3)`,
`x=-(4)/(3)`

Hence final answer is
`x=-(4)/(3)` and
`x=-(4)/(3)`.