ax^3-bx+c=0

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Solution for ax^3-bx+c=0 equation:


Simplifying
ax3 + -1bx + c = 0

Solving
ax3 + -1bx + c = 0

Solving for variable 'a'.

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

Add 'bx' to each side of the equation.
ax3 + -1bx + bx + c = 0 + bx

Combine like terms: -1bx + bx = 0
ax3 + 0 + c = 0 + bx
ax3 + c = 0 + bx
Remove the zero:
ax3 + c = bx

Add '-1c' to each side of the equation.
ax3 + c + -1c = bx + -1c

Combine like terms: c + -1c = 0
ax3 + 0 = bx + -1c
ax3 = bx + -1c

Divide each side by 'x3'.
a = bx-2 + -1cx-3

Simplifying
a = bx-2 + -1cx-3

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