x^3-ax+b=0

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Solution for x^3-ax+b=0 equation:


Simplifying
x3 + -1ax + b = 0

Reorder the terms:
-1ax + b + x3 = 0

Solving
-1ax + b + x3 = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
-1ax + b + -1b + x3 = 0 + -1b

Combine like terms: b + -1b = 0
-1ax + 0 + x3 = 0 + -1b
-1ax + x3 = 0 + -1b
Remove the zero:
-1ax + x3 = -1b

Add '-1x3' to each side of the equation.
-1ax + x3 + -1x3 = -1b + -1x3

Combine like terms: x3 + -1x3 = 0
-1ax + 0 = -1b + -1x3
-1ax = -1b + -1x3

Divide each side by '-1x'.
a = bx-1 + x2

Simplifying
a = bx-1 + x2

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