(5a-3f)(5a-2f)=

Solution for (5a-3f)(5a-2f)= equation:

Simplifying
(5a + -3f)(5a + -2f) = 0

Multiply (5a + -3f) * (5a + -2f)
(5a * (5a + -2f) + -3f * (5a + -2f)) = 0
((5a * 5a + -2f * 5a) + -3f * (5a + -2f)) = 0

Reorder the terms:
((-10af + 25a2) + -3f * (5a + -2f)) = 0
((-10af + 25a2) + -3f * (5a + -2f)) = 0
(-10af + 25a2 + (5a * -3f + -2f * -3f)) = 0
(-10af + 25a2 + (-15af + 6f2)) = 0

Reorder the terms:
(-10af + -15af + 25a2 + 6f2) = 0

Combine like terms: -10af + -15af = -25af
(-25af + 25a2 + 6f2) = 0

Solving
-25af + 25a2 + 6f2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5a + -3f)(5a + -2f) = 0

Subproblem 1
Set the factor '(5a + -3f)' equal to zero and attempt to solve:

Simplifying
5a + -3f = 0

Solving
5a + -3f = 0

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

Add '3f' to each side of the equation.
5a + -3f + 3f = 0 + 3f

Combine like terms: -3f + 3f = 0
5a + 0 = 0 + 3f
5a = 0 + 3f
Remove the zero:
5a = 3f

Divide each side by '5'.
a = 0.6f

Simplifying
a = 0.6f
Subproblem 2
Set the factor '(5a + -2f)' equal to zero and attempt to solve:

Simplifying
5a + -2f = 0

Solving
5a + -2f = 0

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

Add '2f' to each side of the equation.
5a + -2f + 2f = 0 + 2f

Combine like terms: -2f + 2f = 0
5a + 0 = 0 + 2f
5a = 0 + 2f
Remove the zero:
5a = 2f

Divide each side by '5'.
a = 0.4f

Simplifying
a = 0.4f
Solution
a = {0.6f, 0.4f}