F(x)=raix(8-x)

Solution for F(x)=raix(8-x) equation:

Simplifying
F(x) = raix(8 + -1x)

Multiply F * x
xF = raix(8 + -1x)
xF = (8 * airx + -1x * airx)
xF = (8airx + -1airx2)

Solving
xF = 8airx + -1airx2

Solving for variable 'x'.

Reorder the terms:
-8airx + airx2 + xF = 8airx + -1airx2 + -8airx + airx2

Reorder the terms:
-8airx + airx2 + xF = 8airx + -8airx + -1airx2 + airx2

Combine like terms: 8airx + -8airx = 0
-8airx + airx2 + xF = 0 + -1airx2 + airx2
-8airx + airx2 + xF = -1airx2 + airx2

Combine like terms: -1airx2 + airx2 = 0
-8airx + airx2 + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8air + airx + F) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-8air + airx + F)' equal to zero and attempt to solve:

Simplifying
-8air + airx + F = 0

Reorder the terms:
F + -8air + airx = 0

Solving
F + -8air + airx = 0

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

Add '-1F' to each side of the equation.
F + -8air + -1F + airx = 0 + -1F

Reorder the terms:
F + -1F + -8air + airx = 0 + -1F

Combine like terms: F + -1F = 0
0 + -8air + airx = 0 + -1F
-8air + airx = 0 + -1F
Remove the zero:
-8air + airx = -1F

Add '8air' to each side of the equation.
-8air + 8air + airx = -1F + 8air

Combine like terms: -8air + 8air = 0
0 + airx = -1F + 8air
airx = -1F + 8air

Divide each side by 'air'.
x = -1a-1i-1r-1F + 8

Simplifying
x = -1a-1i-1r-1F + 8

Reorder the terms:
x = 8 + -1a-1i-1r-1F
Solution
x = {0, 8 + -1a-1i-1r-1F}