What is the value of a?

a - 2 = 3/3+6a

Simple way, remember this quadratic formula: x = (-b+-√b²-4ac) / 2a

a - 2 = 3/3+6a

(a-2) (3+6a) = 3

3a + 6a² - 6 - 12a = 3

6a² - 9a - 6 - 3 = 0

6a² - 9a - 9 = 0

a=6 b=9 c=9

Note that a² is a. a is b. 9 is c. That is the quadratic formula.

We will use the quadratic formula here:

x = (-b+-√b²-4ac) / 2a

Note that you have to use + / - separately to get the correct answer.

x = (-9+√9²-4 (6) (-9) / 2 (6) = 0.68

x = (-9-√3²-4 (6) (-9)) / 2 (6) = - 2.18

So the value of a is either 0.68 or - 2.18.

Here-

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation. a-2 = 3/3 + 6a

Simplify:a + - 2 = 1 + 6a

a - 2 = 6a + 1

Step 2:

Subtract 6a from both sides.

a-2 - 6a = 6a + 1 - 6 a

-5a-2=1

Step 3: Add 2 to both sides.

-5a-2 + 2 = 1 + 2

-5a = 3

Step 4: Divide both sides by - 5.-5a / - 5 = 3/-5

Final Result:

a = - 3/5