# How do you solve for y in #6y^2-5y=6#?

##### 2 Answers

May 25, 2018

#### Explanation:

**Do not forget to check your answer:**

Plug in

**That proves that #color(teal)(y=3/2# is correct**

Next, check for

**That's it your final answer is:**

May 25, 2018

#y=2/3#

#y=-3/2#

#### Explanation:

Given -

#6y^2-5y=6#

divide both sides by 6

#y^2-5/6y=1#

#y^2-5/6y+25/144=1+25/144=(144+25)/144=169/144#

#(y+5/12)^2=169/144#

#y+5/12=+-sqrt(169/144)=+-13/12#

#y=13/12-5/12=8/12=2/3#

#y=-13/12-5/12=-18/12=-3/2#