(3sd+4f)(4f-3sd)=

Solution for (3sd+4f)(4f-3sd)= equation:

Simplifying
(3sd + 4f)(4f + -3sd) = 0

Reorder the terms:
(3ds + 4f)(-3ds + 4f) = 0

Multiply (3ds + 4f) * (-3ds + 4f)
(3ds * (-3ds + 4f) + 4f * (-3ds + 4f)) = 0
((-3ds * 3ds + 4f * 3ds) + 4f * (-3ds + 4f)) = 0

Reorder the terms:
((12dfs + -9d2s2) + 4f * (-3ds + 4f)) = 0
((12dfs + -9d2s2) + 4f * (-3ds + 4f)) = 0
(12dfs + -9d2s2 + (-3ds * 4f + 4f * 4f)) = 0
(12dfs + -9d2s2 + (-12dfs + 16f2)) = 0

Reorder the terms:
(12dfs + -12dfs + -9d2s2 + 16f2) = 0

Combine like terms: 12dfs + -12dfs = 0
(0 + -9d2s2 + 16f2) = 0
(-9d2s2 + 16f2) = 0

Solving
-9d2s2 + 16f2 = 0

Solving for variable 'd'.

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

Add '-16f2' to each side of the equation.
-9d2s2 + 16f2 + -16f2 = 0 + -16f2

Combine like terms: 16f2 + -16f2 = 0
-9d2s2 + 0 = 0 + -16f2
-9d2s2 = 0 + -16f2
Remove the zero:
-9d2s2 = -16f2

Divide each side by '-9s2'.
d2 = 1.777777778f2s-2

Simplifying
d2 = 1.777777778f2s-2

Take the square root of each side:
d = {-1.333333333fs-1, 1.333333333fs-1}