X^4-x^3-24x^2+42x+72=0

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Solution for X^4-x^3-24x^2+42x+72=0 equation:


Simplifying
X4 + -1x3 + -24x2 + 42x + 72 = 0

Reorder the terms:
72 + X4 + 42x + -24x2 + -1x3 = 0

Solving
72 + X4 + 42x + -24x2 + -1x3 = 0

Solving for variable 'X'.

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

Add '-72' to each side of the equation.
72 + X4 + 42x + -24x2 + -72 + -1x3 = 0 + -72

Reorder the terms:
72 + -72 + X4 + 42x + -24x2 + -1x3 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + X4 + 42x + -24x2 + -1x3 = 0 + -72
X4 + 42x + -24x2 + -1x3 = 0 + -72

Combine like terms: 0 + -72 = -72
X4 + 42x + -24x2 + -1x3 = -72

Add '-42x' to each side of the equation.
X4 + 42x + -24x2 + -42x + -1x3 = -72 + -42x

Reorder the terms:
X4 + 42x + -42x + -24x2 + -1x3 = -72 + -42x

Combine like terms: 42x + -42x = 0
X4 + 0 + -24x2 + -1x3 = -72 + -42x
X4 + -24x2 + -1x3 = -72 + -42x

Add '24x2' to each side of the equation.
X4 + -24x2 + 24x2 + -1x3 = -72 + -42x + 24x2

Combine like terms: -24x2 + 24x2 = 0
X4 + 0 + -1x3 = -72 + -42x + 24x2
X4 + -1x3 = -72 + -42x + 24x2

Add 'x3' to each side of the equation.
X4 + -1x3 + x3 = -72 + -42x + 24x2 + x3

Combine like terms: -1x3 + x3 = 0
X4 + 0 = -72 + -42x + 24x2 + x3
X4 = -72 + -42x + 24x2 + x3

Simplifying
X4 = -72 + -42x + 24x2 + x3

Reorder the terms:
72 + X4 + 42x + -24x2 + -1x3 = -72 + -42x + 24x2 + x3 + 72 + 42x + -24x2 + -1x3

Reorder the terms:
72 + X4 + 42x + -24x2 + -1x3 = -72 + 72 + -42x + 42x + 24x2 + -24x2 + x3 + -1x3

Combine like terms: -72 + 72 = 0
72 + X4 + 42x + -24x2 + -1x3 = 0 + -42x + 42x + 24x2 + -24x2 + x3 + -1x3
72 + X4 + 42x + -24x2 + -1x3 = -42x + 42x + 24x2 + -24x2 + x3 + -1x3

Combine like terms: -42x + 42x = 0
72 + X4 + 42x + -24x2 + -1x3 = 0 + 24x2 + -24x2 + x3 + -1x3
72 + X4 + 42x + -24x2 + -1x3 = 24x2 + -24x2 + x3 + -1x3

Combine like terms: 24x2 + -24x2 = 0
72 + X4 + 42x + -24x2 + -1x3 = 0 + x3 + -1x3
72 + X4 + 42x + -24x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
72 + X4 + 42x + -24x2 + -1x3 = 0

The solution to this equation could not be determined.

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