Question

5u^2=13U+6 solve for u

Answer 1

`\large\boxed{u=-(2)/(5)\ or\ u=3}`

Explanation:

`5u^2=13u+6\qquad\text{subtract}\ 13u\ \text{and 6 from both sides}\\\\5u^2-13u-6=0\\\\5u^2-15u+2u-6=0\qquad\text{distribute}\\\\5u(u-3)+2(u-3)=0\\\\(5u+2)(u-3)=0\iff5u+2=0\ \vee\  u-3=0\\\\5u+2=0\qquad\text{subtract 2 from both sides}\\\\5u=-2\qquad\text{divide both sides by 5}\\\\\boxed{u=-(2)/(5)}\\\\u-3=0\qquad\text{add 3 to both sides}\\\\\boxed{u=3}`

Answer 2

u=-2/5, u=3.

Explanation:

5u^2=13u+6

5u^2-13u-6=0

factor out

(5u+2)(u-3)=0

zero property

5u+2=0, u-3=0

5u=0-2=-2, u=-2/5

u=0+3=3