7b^2-17ab+6a^2=

Solution for 7b^2-17ab+6a^2= equation:

Simplifying
7b2 + -17ab + 6a2 = 0

Reorder the terms:
-17ab + 6a2 + 7b2 = 0

Solving
-17ab + 6a2 + 7b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + -7b)(2a + -1b) = 0

Subproblem 1
Set the factor '(3a + -7b)' equal to zero and attempt to solve:

Simplifying
3a + -7b = 0

Solving
3a + -7b = 0

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

Add '7b' to each side of the equation.
3a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
3a + 0 = 0 + 7b
3a = 0 + 7b
Remove the zero:
3a = 7b

Divide each side by '3'.
a = 2.333333333b

Simplifying
a = 2.333333333b
Subproblem 2
Set the factor '(2a + -1b)' equal to zero and attempt to solve:

Simplifying
2a + -1b = 0

Solving
2a + -1b = 0

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

Add 'b' to each side of the equation.
2a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
2a + 0 = 0 + b
2a = 0 + b
Remove the zero:
2a = b

Divide each side by '2'.
a = 0.5b

Simplifying
a = 0.5b
Solution
a = {2.333333333b, 0.5b}