Question

What is the value of a?
a - 2 = 3/3+6a

Answer 1

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.

Answer 2

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+1−6a

−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