36a^2-3a=18

Solution for 36a^2-3a=18 equation:

Simplifying
36a2 + -3a = 18

Reorder the terms:
-3a + 36a2 = 18

Solving
-3a + 36a2 = 18

Solving for variable 'a'.

Reorder the terms:
-18 + -3a + 36a2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -3a + 36a2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + -1a + 12a2) = 0

Factor a trinomial.
3((-2 + -3a)(3 + -4a)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -3a)' equal to zero and attempt to solve:

Simplifying
-2 + -3a = 0

Solving
-2 + -3a = 0

Move all terms containing a to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -3a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3a = 0 + 2
-3a = 0 + 2

Combine like terms: 0 + 2 = 2
-3a = 2

Divide each side by '-3'.
a = -0.6666666667

Simplifying
a = -0.6666666667
Subproblem 2
Set the factor '(3 + -4a)' equal to zero and attempt to solve:

Simplifying
3 + -4a = 0

Solving
3 + -4a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -4a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4a = 0 + -3
-4a = 0 + -3

Combine like terms: 0 + -3 = -3
-4a = -3

Divide each side by '-4'.
a = 0.75

Simplifying
a = 0.75
Solution
a = {-0.6666666667, 0.75}