0=(X^4)+(2x^3)-(12x^2)-(40x)-32

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Solution for 0=(X^4)+(2x^3)-(12x^2)-(40x)-32 equation: 


Simplifying
0 = (X4) + (2x3) + -1(12x2) + -1(40x) + -32
0 = X4 + (2x3) + -1(12x2) + -1(40x) + -32

Remove parenthesis around (12x2)
0 = X4 + (2x3) + -1 * 12x2 + -1(40x) + -32

Multiply -1 * 12
0 = X4 + (2x3) + -12x2 + -1(40x) + -32

Remove parenthesis around (40x)
0 = X4 + (2x3) + -12x2 + -1 * 40x + -32

Multiply -1 * 40
0 = X4 + (2x3) + -12x2 + -40x + -32

Reorder the terms:
0 = -32 + X4 + -40x + -12x2 + (2x3)

Solving
0 = -32 + X4 + -40x + -12x2 + (2x3)

Solving for variable 'X'.

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

Add '-1X4' to each side of the equation.
0 + -1X4 = -32 + X4 + -40x + -12x2 + -1X4 + (2x3)
Remove the zero:
-1X4 = -32 + X4 + -40x + -12x2 + -1X4 + (2x3)

Reorder the terms:
-1X4 = -32 + X4 + -1X4 + -40x + -12x2 + (2x3)

Combine like terms: X4 + -1X4 = 0
-1X4 = -32 + 0 + -40x + -12x2 + (2x3)
-1X4 = -32 + -40x + -12x2 + (2x3)

Divide each side by '-1'.
X4 = 32 + 40x + 12x2 + (-2x3)

Simplifying
X4 = 32 + 40x + 12x2 + (-2x3)

Reorder the terms:
-32 + X4 + -40x + -12x2 + (2x3) = 32 + 40x + 12x2 + (-2x3) + -32 + -40x + -12x2 + (2x3)

Reorder the terms:
-32 + X4 + -40x + -12x2 + (2x3) = 32 + -32 + 40x + -40x + 12x2 + -12x2 + (-2x3) + (2x3)

Combine like terms: 32 + -32 = 0
-32 + X4 + -40x + -12x2 + (2x3) = 0 + 40x + -40x + 12x2 + -12x2 + (-2x3) + (2x3)
-32 + X4 + -40x + -12x2 + (2x3) = 40x + -40x + 12x2 + -12x2 + (-2x3) + (2x3)

Combine like terms: 40x + -40x = 0
-32 + X4 + -40x + -12x2 + (2x3) = 0 + 12x2 + -12x2 + (-2x3) + (2x3)
-32 + X4 + -40x + -12x2 + (2x3) = 12x2 + -12x2 + (-2x3) + (2x3)

Combine like terms: 12x2 + -12x2 = 0
-32 + X4 + -40x + -12x2 + (2x3) = 0 + (-2x3) + (2x3)
-32 + X4 + -40x + -12x2 + (2x3) = (-2x3) + (2x3)

Combine like terms: (-2x3) + (2x3) = 0
-32 + X4 + -40x + -12x2 + (2x3) = 0

The solution to this equation could not be determined.

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