cbrt(1+x)+cbrt(1-x)=a

Solution for cbrt(1+x)+cbrt(1-x)=a equation:

Simplifying
cbrt(1 + x) + cbrt(1 + -1x) = a
(1 * bcrt + x * bcrt) + cbrt(1 + -1x) = a
(1bcrt + bcrtx) + cbrt(1 + -1x) = a
1bcrt + bcrtx + (1 * bcrt + -1x * bcrt) = a
1bcrt + bcrtx + (1bcrt + -1bcrtx) = a

Reorder the terms:
1bcrt + 1bcrt + bcrtx + -1bcrtx = a

Combine like terms: 1bcrt + 1bcrt = 2bcrt
2bcrt + bcrtx + -1bcrtx = a

Combine like terms: bcrtx + -1bcrtx = 0
2bcrt + 0 = a
2bcrt = a

Solving
2bcrt = a

Solving for variable 'b'.

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

Divide each side by '2crt'.
b = 0.5ac-1r-1t-1

Simplifying
b = 0.5ac-1r-1t-1