12a^2-19ab+7b^2=

Solution for 12a^2-19ab+7b^2= equation:

Simplifying
12a2 + -19ab + 7b2 = 0

Reorder the terms:
-19ab + 12a2 + 7b2 = 0

Solving
-19ab + 12a2 + 7b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -1b)(12a + -7b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(12a + -7b)' equal to zero and attempt to solve:

Simplifying
12a + -7b = 0

Solving
12a + -7b = 0

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

Add '7b' to each side of the equation.
12a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
12a + 0 = 0 + 7b
12a = 0 + 7b
Remove the zero:
12a = 7b

Divide each side by '12'.
a = 0.5833333333b

Simplifying
a = 0.5833333333b
Solution
a = {b, 0.5833333333b}