X^4+12x^3+49x^2+78x+40=0

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Solution for X^4+12x^3+49x^2+78x+40=0 equation: 


Simplifying
X4 + 12x3 + 49x2 + 78x + 40 = 0

Reorder the terms:
40 + X4 + 78x + 49x2 + 12x3 = 0

Solving
40 + X4 + 78x + 49x2 + 12x3 = 0

Solving for variable 'X'.

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

Add '-40' to each side of the equation.
40 + X4 + 78x + 49x2 + -40 + 12x3 = 0 + -40

Reorder the terms:
40 + -40 + X4 + 78x + 49x2 + 12x3 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + X4 + 78x + 49x2 + 12x3 = 0 + -40
X4 + 78x + 49x2 + 12x3 = 0 + -40

Combine like terms: 0 + -40 = -40
X4 + 78x + 49x2 + 12x3 = -40

Add '-78x' to each side of the equation.
X4 + 78x + 49x2 + -78x + 12x3 = -40 + -78x

Reorder the terms:
X4 + 78x + -78x + 49x2 + 12x3 = -40 + -78x

Combine like terms: 78x + -78x = 0
X4 + 0 + 49x2 + 12x3 = -40 + -78x
X4 + 49x2 + 12x3 = -40 + -78x

Add '-49x2' to each side of the equation.
X4 + 49x2 + -49x2 + 12x3 = -40 + -78x + -49x2

Combine like terms: 49x2 + -49x2 = 0
X4 + 0 + 12x3 = -40 + -78x + -49x2
X4 + 12x3 = -40 + -78x + -49x2

Add '-12x3' to each side of the equation.
X4 + 12x3 + -12x3 = -40 + -78x + -49x2 + -12x3

Combine like terms: 12x3 + -12x3 = 0
X4 + 0 = -40 + -78x + -49x2 + -12x3
X4 = -40 + -78x + -49x2 + -12x3

Simplifying
X4 = -40 + -78x + -49x2 + -12x3

Reorder the terms:
40 + X4 + 78x + 49x2 + 12x3 = -40 + -78x + -49x2 + -12x3 + 40 + 78x + 49x2 + 12x3

Reorder the terms:
40 + X4 + 78x + 49x2 + 12x3 = -40 + 40 + -78x + 78x + -49x2 + 49x2 + -12x3 + 12x3

Combine like terms: -40 + 40 = 0
40 + X4 + 78x + 49x2 + 12x3 = 0 + -78x + 78x + -49x2 + 49x2 + -12x3 + 12x3
40 + X4 + 78x + 49x2 + 12x3 = -78x + 78x + -49x2 + 49x2 + -12x3 + 12x3

Combine like terms: -78x + 78x = 0
40 + X4 + 78x + 49x2 + 12x3 = 0 + -49x2 + 49x2 + -12x3 + 12x3
40 + X4 + 78x + 49x2 + 12x3 = -49x2 + 49x2 + -12x3 + 12x3

Combine like terms: -49x2 + 49x2 = 0
40 + X4 + 78x + 49x2 + 12x3 = 0 + -12x3 + 12x3
40 + X4 + 78x + 49x2 + 12x3 = -12x3 + 12x3

Combine like terms: -12x3 + 12x3 = 0
40 + X4 + 78x + 49x2 + 12x3 = 0

The solution to this equation could not be determined.

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