3a^2-7ab+2b^2=

Solution for 3a^2-7ab+2b^2= equation:

Simplifying
3a2 + -7ab + 2b2 = 0

Reorder the terms:
-7ab + 3a2 + 2b2 = 0

Solving
-7ab + 3a2 + 2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -2b)(3a + -1b) = 0

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

Simplifying
a + -2b = 0

Solving
a + -2b = 0

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

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

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

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

Simplifying
3a + -1b = 0

Solving
3a + -1b = 0

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

Add 'b' to each side of the equation.
3a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
3a + 0 = 0 + b
3a = 0 + b
Remove the zero:
3a = b

Divide each side by '3'.
a = 0.3333333333b

Simplifying
a = 0.3333333333b
Solution
a = {2b, 0.3333333333b}