(-5+3f)(5+3f)=

Solution for (-5+3f)(5+3f)= equation:

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

Multiply (-5 + 3f) * (5 + 3f)
(-5(5 + 3f) + 3f * (5 + 3f)) = 0
((5 * -5 + 3f * -5) + 3f * (5 + 3f)) = 0
((-25 + -15f) + 3f * (5 + 3f)) = 0
(-25 + -15f + (5 * 3f + 3f * 3f)) = 0
(-25 + -15f + (15f + 9f2)) = 0

Combine like terms: -15f + 15f = 0
(-25 + 0 + 9f2) = 0
(-25 + 9f2) = 0

Solving
-25 + 9f2 = 0

Solving for variable 'f'.

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

Add '25' to each side of the equation.
-25 + 25 + 9f2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 9f2 = 0 + 25
9f2 = 0 + 25

Combine like terms: 0 + 25 = 25
9f2 = 25

Divide each side by '9'.
f2 = 2.777777778

Simplifying
f2 = 2.777777778

Take the square root of each side:
f = {-1.666666667, 1.666666667}