12a^2-25ab+12b^2=

Solution for 12a^2-25ab+12b^2= equation:

Simplifying
12a2 + -25ab + 12b2 = 0

Reorder the terms:
-25ab + 12a2 + 12b2 = 0

Solving
-25ab + 12a2 + 12b2 = 0

Solving for variable 'a'.

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

Subproblem 1
Set the factor '(3a + -4b)' equal to zero and attempt to solve:

Simplifying
3a + -4b = 0

Solving
3a + -4b = 0

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

Add '4b' to each side of the equation.
3a + -4b + 4b = 0 + 4b

Combine like terms: -4b + 4b = 0
3a + 0 = 0 + 4b
3a = 0 + 4b
Remove the zero:
3a = 4b

Divide each side by '3'.
a = 1.333333333b

Simplifying
a = 1.333333333b
Subproblem 2
Set the factor '(4a + -3b)' equal to zero and attempt to solve:

Simplifying
4a + -3b = 0

Solving
4a + -3b = 0

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

Add '3b' to each side of the equation.
4a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
4a + 0 = 0 + 3b
4a = 0 + 3b
Remove the zero:
4a = 3b

Divide each side by '4'.
a = 0.75b

Simplifying
a = 0.75b
Solution
a = {1.333333333b, 0.75b}