p(x)=x^4-3x^3+(x-2)x^2-6x+14

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Solution for p(x)=x^4-3x^3+(x-2)x^2-6x+14 equation: 


Simplifying
p(x) = x4 + -3x3 + (x + -2) * x2 + -6x + 14

Multiply p * x
px = x4 + -3x3 + (x + -2) * x2 + -6x + 14

Reorder the terms:
px = x4 + -3x3 + (-2 + x) * x2 + -6x + 14

Reorder the terms for easier multiplication:
px = x4 + -3x3 + x2(-2 + x) + -6x + 14
px = x4 + -3x3 + (-2 * x2 + x * x2) + -6x + 14
px = x4 + -3x3 + (-2x2 + x3) + -6x + 14

Reorder the terms:
px = 14 + -6x + -2x2 + -3x3 + x3 + x4

Combine like terms: -3x3 + x3 = -2x3
px = 14 + -6x + -2x2 + -2x3 + x4

Solving
px = 14 + -6x + -2x2 + -2x3 + x4

Solving for variable 'p'.

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

Divide each side by 'x'.
p = 14x-1 + -6 + -2x + -2x2 + x3

Simplifying
p = 14x-1 + -6 + -2x + -2x2 + x3

Reorder the terms:
p = -6 + 14x-1 + -2x + -2x2 + x3

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