X^4+x^3-11x^2+5x+30=0

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Solution for X^4+x^3-11x^2+5x+30=0 equation:


Simplifying
X4 + x3 + -11x2 + 5x + 30 = 0

Reorder the terms:
30 + X4 + 5x + -11x2 + x3 = 0

Solving
30 + X4 + 5x + -11x2 + x3 = 0

Solving for variable 'X'.

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

Add '-30' to each side of the equation.
30 + X4 + 5x + -11x2 + -30 + x3 = 0 + -30

Reorder the terms:
30 + -30 + X4 + 5x + -11x2 + x3 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + X4 + 5x + -11x2 + x3 = 0 + -30
X4 + 5x + -11x2 + x3 = 0 + -30

Combine like terms: 0 + -30 = -30
X4 + 5x + -11x2 + x3 = -30

Add '-5x' to each side of the equation.
X4 + 5x + -11x2 + -5x + x3 = -30 + -5x

Reorder the terms:
X4 + 5x + -5x + -11x2 + x3 = -30 + -5x

Combine like terms: 5x + -5x = 0
X4 + 0 + -11x2 + x3 = -30 + -5x
X4 + -11x2 + x3 = -30 + -5x

Add '11x2' to each side of the equation.
X4 + -11x2 + 11x2 + x3 = -30 + -5x + 11x2

Combine like terms: -11x2 + 11x2 = 0
X4 + 0 + x3 = -30 + -5x + 11x2
X4 + x3 = -30 + -5x + 11x2

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 = -30 + -5x + 11x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 = -30 + -5x + 11x2 + -1x3
X4 = -30 + -5x + 11x2 + -1x3

Simplifying
X4 = -30 + -5x + 11x2 + -1x3

Reorder the terms:
30 + X4 + 5x + -11x2 + x3 = -30 + -5x + 11x2 + -1x3 + 30 + 5x + -11x2 + x3

Reorder the terms:
30 + X4 + 5x + -11x2 + x3 = -30 + 30 + -5x + 5x + 11x2 + -11x2 + -1x3 + x3

Combine like terms: -30 + 30 = 0
30 + X4 + 5x + -11x2 + x3 = 0 + -5x + 5x + 11x2 + -11x2 + -1x3 + x3
30 + X4 + 5x + -11x2 + x3 = -5x + 5x + 11x2 + -11x2 + -1x3 + x3

Combine like terms: -5x + 5x = 0
30 + X4 + 5x + -11x2 + x3 = 0 + 11x2 + -11x2 + -1x3 + x3
30 + X4 + 5x + -11x2 + x3 = 11x2 + -11x2 + -1x3 + x3

Combine like terms: 11x2 + -11x2 = 0
30 + X4 + 5x + -11x2 + x3 = 0 + -1x3 + x3
30 + X4 + 5x + -11x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
30 + X4 + 5x + -11x2 + x3 = 0

The solution to this equation could not be determined.

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