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

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

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

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

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

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

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

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

Solving
0 = -9d2s2 + 16f2

Solving for variable 'd'.

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

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

Combine like terms: -9d2s2 + 9d2s2 = 0
9d2s2 = 0 + 16f2
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}