ax^3+bx^2+c=0

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Solution for ax^3+bx^2+c=0 equation:


Simplifying
ax3 + bx2 + c = 0

Solving
ax3 + bx2 + c = 0

Solving for variable 'a'.

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

Add '-1bx2' to each side of the equation.
ax3 + bx2 + -1bx2 + c = 0 + -1bx2

Combine like terms: bx2 + -1bx2 = 0
ax3 + 0 + c = 0 + -1bx2
ax3 + c = 0 + -1bx2
Remove the zero:
ax3 + c = -1bx2

Add '-1c' to each side of the equation.
ax3 + c + -1c = -1bx2 + -1c

Combine like terms: c + -1c = 0
ax3 + 0 = -1bx2 + -1c
ax3 = -1bx2 + -1c

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

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

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