x^4+36x^3+384x^2+1080x+900=4(x^2+18x+45)

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Solution for x^4+36x^3+384x^2+1080x+900=4(x^2+18x+45) equation:


Simplifying
x4 + 36x3 + 384x2 + 1080x + 900 = 4(x2 + 18x + 45)

Reorder the terms:
900 + 1080x + 384x2 + 36x3 + x4 = 4(x2 + 18x + 45)

Reorder the terms:
900 + 1080x + 384x2 + 36x3 + x4 = 4(45 + 18x + x2)
900 + 1080x + 384x2 + 36x3 + x4 = (45 * 4 + 18x * 4 + x2 * 4)
900 + 1080x + 384x2 + 36x3 + x4 = (180 + 72x + 4x2)

Solving
900 + 1080x + 384x2 + 36x3 + x4 = 180 + 72x + 4x2

Solving for variable 'x'.

Reorder the terms:
900 + -180 + 1080x + -72x + 384x2 + -4x2 + 36x3 + x4 = 180 + 72x + 4x2 + -180 + -72x + -4x2

Combine like terms: 900 + -180 = 720
720 + 1080x + -72x + 384x2 + -4x2 + 36x3 + x4 = 180 + 72x + 4x2 + -180 + -72x + -4x2

Combine like terms: 1080x + -72x = 1008x
720 + 1008x + 384x2 + -4x2 + 36x3 + x4 = 180 + 72x + 4x2 + -180 + -72x + -4x2

Combine like terms: 384x2 + -4x2 = 380x2
720 + 1008x + 380x2 + 36x3 + x4 = 180 + 72x + 4x2 + -180 + -72x + -4x2

Reorder the terms:
720 + 1008x + 380x2 + 36x3 + x4 = 180 + -180 + 72x + -72x + 4x2 + -4x2

Combine like terms: 180 + -180 = 0
720 + 1008x + 380x2 + 36x3 + x4 = 0 + 72x + -72x + 4x2 + -4x2
720 + 1008x + 380x2 + 36x3 + x4 = 72x + -72x + 4x2 + -4x2

Combine like terms: 72x + -72x = 0
720 + 1008x + 380x2 + 36x3 + x4 = 0 + 4x2 + -4x2
720 + 1008x + 380x2 + 36x3 + x4 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
720 + 1008x + 380x2 + 36x3 + x4 = 0

The solution to this equation could not be determined.

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