x^3+3X^2-24x-216=0

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Solution for x^3+3X^2-24x-216=0 equation: 


Simplifying
x3 + 3X2 + -24x + -216 = 0

Reorder the terms:
-216 + 3X2 + -24x + x3 = 0

Solving
-216 + 3X2 + -24x + x3 = 0

Solving for variable 'X'.

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

Add '216' to each side of the equation.
-216 + 3X2 + -24x + 216 + x3 = 0 + 216

Reorder the terms:
-216 + 216 + 3X2 + -24x + x3 = 0 + 216

Combine like terms: -216 + 216 = 0
0 + 3X2 + -24x + x3 = 0 + 216
3X2 + -24x + x3 = 0 + 216

Combine like terms: 0 + 216 = 216
3X2 + -24x + x3 = 216

Add '24x' to each side of the equation.
3X2 + -24x + 24x + x3 = 216 + 24x

Combine like terms: -24x + 24x = 0
3X2 + 0 + x3 = 216 + 24x
3X2 + x3 = 216 + 24x

Add '-1x3' to each side of the equation.
3X2 + x3 + -1x3 = 216 + 24x + -1x3

Combine like terms: x3 + -1x3 = 0
3X2 + 0 = 216 + 24x + -1x3
3X2 = 216 + 24x + -1x3

Divide each side by '3'.
X2 = 72 + 8x + -0.3333333333x3

Simplifying
X2 = 72 + 8x + -0.3333333333x3

Reorder the terms:
-72 + X2 + -8x + 0.3333333333x3 = 72 + 8x + -0.3333333333x3 + -72 + -8x + 0.3333333333x3

Reorder the terms:
-72 + X2 + -8x + 0.3333333333x3 = 72 + -72 + 8x + -8x + -0.3333333333x3 + 0.3333333333x3

Combine like terms: 72 + -72 = 0
-72 + X2 + -8x + 0.3333333333x3 = 0 + 8x + -8x + -0.3333333333x3 + 0.3333333333x3
-72 + X2 + -8x + 0.3333333333x3 = 8x + -8x + -0.3333333333x3 + 0.3333333333x3

Combine like terms: 8x + -8x = 0
-72 + X2 + -8x + 0.3333333333x3 = 0 + -0.3333333333x3 + 0.3333333333x3
-72 + X2 + -8x + 0.3333333333x3 = -0.3333333333x3 + 0.3333333333x3

Combine like terms: -0.3333333333x3 + 0.3333333333x3 = 0.0000000000
-72 + X2 + -8x + 0.3333333333x3 = 0.0000000000

The solution to this equation could not be determined.

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