X^3+6x^2-52x-120=0

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Solution for X^3+6x^2-52x-120=0 equation:


Simplifying
X3 + 6x2 + -52x + -120 = 0

Reorder the terms:
-120 + X3 + -52x + 6x2 = 0

Solving
-120 + X3 + -52x + 6x2 = 0

Solving for variable 'X'.

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

Add '120' to each side of the equation.
-120 + X3 + -52x + 120 + 6x2 = 0 + 120

Reorder the terms:
-120 + 120 + X3 + -52x + 6x2 = 0 + 120

Combine like terms: -120 + 120 = 0
0 + X3 + -52x + 6x2 = 0 + 120
X3 + -52x + 6x2 = 0 + 120

Combine like terms: 0 + 120 = 120
X3 + -52x + 6x2 = 120

Add '52x' to each side of the equation.
X3 + -52x + 52x + 6x2 = 120 + 52x

Combine like terms: -52x + 52x = 0
X3 + 0 + 6x2 = 120 + 52x
X3 + 6x2 = 120 + 52x

Add '-6x2' to each side of the equation.
X3 + 6x2 + -6x2 = 120 + 52x + -6x2

Combine like terms: 6x2 + -6x2 = 0
X3 + 0 = 120 + 52x + -6x2
X3 = 120 + 52x + -6x2

Simplifying
X3 = 120 + 52x + -6x2

Reorder the terms:
-120 + X3 + -52x + 6x2 = 120 + 52x + -6x2 + -120 + -52x + 6x2

Reorder the terms:
-120 + X3 + -52x + 6x2 = 120 + -120 + 52x + -52x + -6x2 + 6x2

Combine like terms: 120 + -120 = 0
-120 + X3 + -52x + 6x2 = 0 + 52x + -52x + -6x2 + 6x2
-120 + X3 + -52x + 6x2 = 52x + -52x + -6x2 + 6x2

Combine like terms: 52x + -52x = 0
-120 + X3 + -52x + 6x2 = 0 + -6x2 + 6x2
-120 + X3 + -52x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-120 + X3 + -52x + 6x2 = 0

The solution to this equation could not be determined.

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