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

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

Simplifying
a2 + -7ab + 12b2 = 0

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

Solving
-7ab + a2 + 12b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -4b)(a + -3b) = 0

Subproblem 1
Set the factor '(a + -4b)' equal to zero and attempt to solve:

Simplifying
a + -4b = 0

Solving
a + -4b = 0

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

Add '4b' to each side of the equation.
a + -4b + 4b = 0 + 4b

Combine like terms: -4b + 4b = 0
a + 0 = 0 + 4b
a = 0 + 4b
Remove the zero:
a = 4b

Simplifying
a = 4b
Subproblem 2
Set the factor '(a + -3b)' equal to zero and attempt to solve:

Simplifying
a + -3b = 0

Solving
a + -3b = 0

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

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

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

Simplifying
a = 3b
Solution
a = {4b, 3b}