4(5f+3)-6(4f-5)=0

Solution for 4(5f+3)-6(4f-5)=0 equation:

Simplifying
4(5f + 3) + -6(4f + -5) = 0

Reorder the terms:
4(3 + 5f) + -6(4f + -5) = 0
(3 * 4 + 5f * 4) + -6(4f + -5) = 0
(12 + 20f) + -6(4f + -5) = 0

Reorder the terms:
12 + 20f + -6(-5 + 4f) = 0
12 + 20f + (-5 * -6 + 4f * -6) = 0
12 + 20f + (30 + -24f) = 0

Reorder the terms:
12 + 30 + 20f + -24f = 0

Combine like terms: 12 + 30 = 42
42 + 20f + -24f = 0

Combine like terms: 20f + -24f = -4f
42 + -4f = 0

Solving
42 + -4f = 0

Solving for variable 'f'.

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

Add '-42' to each side of the equation.
42 + -42 + -4f = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -4f = 0 + -42
-4f = 0 + -42

Combine like terms: 0 + -42 = -42
-4f = -42

Divide each side by '-4'.
f = 10.5

Simplifying
f = 10.5