Solve for x.6x^2=4x+10

Question

asked Nov 17, 2022 197k views

1 Answer

ChadNC · Answer 1 · 2022-11-21T05:45:30+0000

Answer:

$x=-1,\displaystyle (5)/(3)$

Explanation:

Hi there!

6x^2=4x+10

Move 6x^2 to the other side of the equation:

0=-6x^2+4x+10

Divide both sides by -2:

0=3x^2-2x-5

Factor by grouping:

$0=3x^2+3x-5x-5\\0=3x(x+1)-5(x+1)\\0=(3x-5)(x+1)$

Apply the zero product property:

$3x-5 = 0\\3x=5\\\\x=\displaystyle (5)/(3)$

$x+1=0\\x=-1$

Therefore, x = -1, 5/3.

I hope this helps!