=x^4-3x^3+ax^2-6x+14

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Solution for =x^4-3x^3+ax^2-6x+14 equation: 


Simplifying
0 = x4 + -3x3 + ax2 + -6x + 14

Reorder the terms:
0 = 14 + ax2 + -6x + -3x3 + x4

Solving
0 = 14 + ax2 + -6x + -3x3 + x4

Solving for variable 'a'.

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

Add '-1ax2' to each side of the equation.
0 + -1ax2 = 14 + ax2 + -6x + -3x3 + -1ax2 + x4
Remove the zero:
-1ax2 = 14 + ax2 + -6x + -3x3 + -1ax2 + x4

Reorder the terms:
-1ax2 = 14 + ax2 + -1ax2 + -6x + -3x3 + x4

Combine like terms: ax2 + -1ax2 = 0
-1ax2 = 14 + 0 + -6x + -3x3 + x4
-1ax2 = 14 + -6x + -3x3 + x4

Divide each side by '-1x2'.
a = -14x-2 + 6x-1 + 3x + -1x2

Simplifying
a = -14x-2 + 6x-1 + 3x + -1x2

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