4s^2-12sf+9f^2=

Solution for 4s^2-12sf+9f^2= equation:

Simplifying
4s2 + -12sf + 9f2 = 0

Reorder the terms:
-12fs + 9f2 + 4s2 = 0

Solving
-12fs + 9f2 + 4s2 = 0

Solving for variable 'f'.

Factor a trinomial.
(3f + -2s)(3f + -2s) = 0

Subproblem 1
Set the factor '(3f + -2s)' equal to zero and attempt to solve:

Simplifying
3f + -2s = 0

Solving
3f + -2s = 0

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

Add '2s' to each side of the equation.
3f + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
3f + 0 = 0 + 2s
3f = 0 + 2s
Remove the zero:
3f = 2s

Divide each side by '3'.
f = 0.6666666667s

Simplifying
f = 0.6666666667s
Subproblem 2
Set the factor '(3f + -2s)' equal to zero and attempt to solve:

Simplifying
3f + -2s = 0

Solving
3f + -2s = 0

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

Add '2s' to each side of the equation.
3f + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
3f + 0 = 0 + 2s
3f = 0 + 2s
Remove the zero:
3f = 2s

Divide each side by '3'.
f = 0.6666666667s

Simplifying
f = 0.6666666667s
Solution
f = {0.6666666667s, 0.6666666667s}