y(x)=a+bx+cx^2+dx^3

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Solution for y(x)=a+bx+cx^2+dx^3 equation: 


Simplifying
y(x) = a + bx + cx2 + dx3

Multiply y * x
xy = a + bx + cx2 + dx3

Solving
xy = a + bx + cx2 + dx3

Solving for variable 'x'.

Reorder the terms:
-1a + -1bx + -1cx2 + -1dx3 + xy = a + bx + cx2 + dx3 + -1a + -1bx + -1cx2 + -1dx3

Reorder the terms:
-1a + -1bx + -1cx2 + -1dx3 + xy = a + -1a + bx + -1bx + cx2 + -1cx2 + dx3 + -1dx3

Combine like terms: a + -1a = 0
-1a + -1bx + -1cx2 + -1dx3 + xy = 0 + bx + -1bx + cx2 + -1cx2 + dx3 + -1dx3
-1a + -1bx + -1cx2 + -1dx3 + xy = bx + -1bx + cx2 + -1cx2 + dx3 + -1dx3

Combine like terms: bx + -1bx = 0
-1a + -1bx + -1cx2 + -1dx3 + xy = 0 + cx2 + -1cx2 + dx3 + -1dx3
-1a + -1bx + -1cx2 + -1dx3 + xy = cx2 + -1cx2 + dx3 + -1dx3

Combine like terms: cx2 + -1cx2 = 0
-1a + -1bx + -1cx2 + -1dx3 + xy = 0 + dx3 + -1dx3
-1a + -1bx + -1cx2 + -1dx3 + xy = dx3 + -1dx3

Combine like terms: dx3 + -1dx3 = 0
-1a + -1bx + -1cx2 + -1dx3 + xy = 0

The solution to this equation could not be determined.

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