0=x^5+5x^4+-7x^3+-53x^2+-18x+72

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Solution for 0=x^5+5x^4+-7x^3+-53x^2+-18x+72 equation: 


Simplifying
0 = x5 + 5x4 + -7x3 + -53x2 + -18x + 72

Reorder the terms:
0 = 72 + -18x + -53x2 + -7x3 + 5x4 + x5

Solving
0 = 72 + -18x + -53x2 + -7x3 + 5x4 + x5

Solving for variable 'x'.

Combine like terms: 0 + -72 = -72
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 72 + -18x + -53x2 + -7x3 + 5x4 + x5 + -72 + 18x + 53x2 + 7x3 + -5x4 + -1x5

Reorder the terms:
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 72 + -72 + -18x + 18x + -53x2 + 53x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: 72 + -72 = 0
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 0 + -18x + 18x + -53x2 + 53x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = -18x + 18x + -53x2 + 53x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -18x + 18x = 0
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 0 + -53x2 + 53x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = -53x2 + 53x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -53x2 + 53x2 = 0
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 0 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -7x3 + 7x3 = 0
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 0 + 5x4 + -5x4 + x5 + -1x5
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 5x4 + -5x4 + x5 + -1x5

Combine like terms: 5x4 + -5x4 = 0
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 0 + x5 + -1x5
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-72 + 18x + 53x2 + 7x3 + -5x4 + -1x5 = 0

The solution to this equation could not be determined.

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