Question

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

Answer 1

Answer:

$x=-1,\displaystyle \frac{5}{3}$

Step-by-step 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:

$3x-5 = 0\\3x=5\\\\x=\displaystyle \frac{5}{3}$

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

Therefore, x = -1, 5/3.

I hope this helps!