Question

10x^2+15x-9=2x^2+x-14

Answer 1

Answer: x= -5/4, -1/2

Explanation:

10x^2+15x-9=2x^2+x-14

- Move all terms to one side.

10x^2+15x−9−
`2x^(2)`−x+14=0

- Simplify 10x^2+15x−9−
`2x^(2)`−x+14 to 8x^2+14x+5.

8x^2+14x+5.

- Split the second term in 8x^2+14x+5 into two terms.

`8x^(2)+10x+4x+5=0`

- Factor out common terms in the first two terms, then in the last two terms.

2x(4x+5)+(4x+5)=0

- Factor out the common term 4x+5.

(4x+5)(2x+1)=0

- Solve for x.

x= -5/4, -1/2

Hope this helps, have a BLESSED and wonderful day, as well as a safe one! Also, hope your having a good 2020 :-)

-Cutiepatutie