x+7=x^4-20x^3+150x^2-500x+625

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Solution for x+7=x^4-20x^3+150x^2-500x+625 equation: 


Simplifying
x + 7 = x4 + -20x3 + 150x2 + -500x + 625

Reorder the terms:
7 + x = x4 + -20x3 + 150x2 + -500x + 625

Reorder the terms:
7 + x = 625 + -500x + 150x2 + -20x3 + x4

Solving
7 + x = 625 + -500x + 150x2 + -20x3 + x4

Solving for variable 'x'.

Reorder the terms:
7 + -625 + x + 500x + -150x2 + 20x3 + -1x4 = 625 + -500x + 150x2 + -20x3 + x4 + -625 + 500x + -150x2 + 20x3 + -1x4

Combine like terms: 7 + -625 = -618
-618 + x + 500x + -150x2 + 20x3 + -1x4 = 625 + -500x + 150x2 + -20x3 + x4 + -625 + 500x + -150x2 + 20x3 + -1x4

Combine like terms: x + 500x = 501x
-618 + 501x + -150x2 + 20x3 + -1x4 = 625 + -500x + 150x2 + -20x3 + x4 + -625 + 500x + -150x2 + 20x3 + -1x4

Reorder the terms:
-618 + 501x + -150x2 + 20x3 + -1x4 = 625 + -625 + -500x + 500x + 150x2 + -150x2 + -20x3 + 20x3 + x4 + -1x4

Combine like terms: 625 + -625 = 0
-618 + 501x + -150x2 + 20x3 + -1x4 = 0 + -500x + 500x + 150x2 + -150x2 + -20x3 + 20x3 + x4 + -1x4
-618 + 501x + -150x2 + 20x3 + -1x4 = -500x + 500x + 150x2 + -150x2 + -20x3 + 20x3 + x4 + -1x4

Combine like terms: -500x + 500x = 0
-618 + 501x + -150x2 + 20x3 + -1x4 = 0 + 150x2 + -150x2 + -20x3 + 20x3 + x4 + -1x4
-618 + 501x + -150x2 + 20x3 + -1x4 = 150x2 + -150x2 + -20x3 + 20x3 + x4 + -1x4

Combine like terms: 150x2 + -150x2 = 0
-618 + 501x + -150x2 + 20x3 + -1x4 = 0 + -20x3 + 20x3 + x4 + -1x4
-618 + 501x + -150x2 + 20x3 + -1x4 = -20x3 + 20x3 + x4 + -1x4

Combine like terms: -20x3 + 20x3 = 0
-618 + 501x + -150x2 + 20x3 + -1x4 = 0 + x4 + -1x4
-618 + 501x + -150x2 + 20x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-618 + 501x + -150x2 + 20x3 + -1x4 = 0

The solution to this equation could not be determined.

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