X^4+x^3+30x^2+36x-216=0

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Solution for X^4+x^3+30x^2+36x-216=0 equation:


Simplifying
X4 + x3 + 30x2 + 36x + -216 = 0

Reorder the terms:
-216 + X4 + 36x + 30x2 + x3 = 0

Solving
-216 + X4 + 36x + 30x2 + 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 + X4 + 36x + 30x2 + 216 + x3 = 0 + 216

Reorder the terms:
-216 + 216 + X4 + 36x + 30x2 + x3 = 0 + 216

Combine like terms: -216 + 216 = 0
0 + X4 + 36x + 30x2 + x3 = 0 + 216
X4 + 36x + 30x2 + x3 = 0 + 216

Combine like terms: 0 + 216 = 216
X4 + 36x + 30x2 + x3 = 216

Add '-36x' to each side of the equation.
X4 + 36x + 30x2 + -36x + x3 = 216 + -36x

Reorder the terms:
X4 + 36x + -36x + 30x2 + x3 = 216 + -36x

Combine like terms: 36x + -36x = 0
X4 + 0 + 30x2 + x3 = 216 + -36x
X4 + 30x2 + x3 = 216 + -36x

Add '-30x2' to each side of the equation.
X4 + 30x2 + -30x2 + x3 = 216 + -36x + -30x2

Combine like terms: 30x2 + -30x2 = 0
X4 + 0 + x3 = 216 + -36x + -30x2
X4 + x3 = 216 + -36x + -30x2

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 = 216 + -36x + -30x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 = 216 + -36x + -30x2 + -1x3
X4 = 216 + -36x + -30x2 + -1x3

Simplifying
X4 = 216 + -36x + -30x2 + -1x3

Reorder the terms:
-216 + X4 + 36x + 30x2 + x3 = 216 + -36x + -30x2 + -1x3 + -216 + 36x + 30x2 + x3

Reorder the terms:
-216 + X4 + 36x + 30x2 + x3 = 216 + -216 + -36x + 36x + -30x2 + 30x2 + -1x3 + x3

Combine like terms: 216 + -216 = 0
-216 + X4 + 36x + 30x2 + x3 = 0 + -36x + 36x + -30x2 + 30x2 + -1x3 + x3
-216 + X4 + 36x + 30x2 + x3 = -36x + 36x + -30x2 + 30x2 + -1x3 + x3

Combine like terms: -36x + 36x = 0
-216 + X4 + 36x + 30x2 + x3 = 0 + -30x2 + 30x2 + -1x3 + x3
-216 + X4 + 36x + 30x2 + x3 = -30x2 + 30x2 + -1x3 + x3

Combine like terms: -30x2 + 30x2 = 0
-216 + X4 + 36x + 30x2 + x3 = 0 + -1x3 + x3
-216 + X4 + 36x + 30x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-216 + X4 + 36x + 30x2 + x3 = 0

The solution to this equation could not be determined.

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