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

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

Simplifying
-3a2 + ab + 2b2 = 0

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

Solving
ab + -3a2 + 2b2 = 0

Solving for variable 'a'.

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

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

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

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

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

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