18a^2-33ab+14b^2=

Solution for 18a^2-33ab+14b^2= equation:

Simplifying
18a2 + -33ab + 14b2 = 0

Reorder the terms:
-33ab + 18a2 + 14b2 = 0

Solving
-33ab + 18a2 + 14b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(6a + -7b)(3a + -2b) = 0

Subproblem 1
Set the factor '(6a + -7b)' equal to zero and attempt to solve:

Simplifying
6a + -7b = 0

Solving
6a + -7b = 0

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

Add '7b' to each side of the equation.
6a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
6a + 0 = 0 + 7b
6a = 0 + 7b
Remove the zero:
6a = 7b

Divide each side by '6'.
a = 1.166666667b

Simplifying
a = 1.166666667b
Subproblem 2
Set the factor '(3a + -2b)' equal to zero and attempt to solve:

Simplifying
3a + -2b = 0

Solving
3a + -2b = 0

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

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

Combine like terms: -2b + 2b = 0
3a + 0 = 0 + 2b
3a = 0 + 2b
Remove the zero:
3a = 2b

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

Simplifying
a = 0.6666666667b
Solution
a = {1.166666667b, 0.6666666667b}