(6)=5x^4-10x^3-3x^2+10x-6

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Solution for (6)=5x^4-10x^3-3x^2+10x-6 equation: 


Simplifying
(6) = 5x4 + -10x3 + -3x2 + 10x + -6
6 = 5x4 + -10x3 + -3x2 + 10x + -6

Reorder the terms:
6 = -6 + 10x + -3x2 + -10x3 + 5x4

Solving
6 = -6 + 10x + -3x2 + -10x3 + 5x4

Solving for variable 'x'.

Combine like terms: 6 + 6 = 12
12 + -10x + 3x2 + 10x3 + -5x4 = -6 + 10x + -3x2 + -10x3 + 5x4 + 6 + -10x + 3x2 + 10x3 + -5x4

Reorder the terms:
12 + -10x + 3x2 + 10x3 + -5x4 = -6 + 6 + 10x + -10x + -3x2 + 3x2 + -10x3 + 10x3 + 5x4 + -5x4

Combine like terms: -6 + 6 = 0
12 + -10x + 3x2 + 10x3 + -5x4 = 0 + 10x + -10x + -3x2 + 3x2 + -10x3 + 10x3 + 5x4 + -5x4
12 + -10x + 3x2 + 10x3 + -5x4 = 10x + -10x + -3x2 + 3x2 + -10x3 + 10x3 + 5x4 + -5x4

Combine like terms: 10x + -10x = 0
12 + -10x + 3x2 + 10x3 + -5x4 = 0 + -3x2 + 3x2 + -10x3 + 10x3 + 5x4 + -5x4
12 + -10x + 3x2 + 10x3 + -5x4 = -3x2 + 3x2 + -10x3 + 10x3 + 5x4 + -5x4

Combine like terms: -3x2 + 3x2 = 0
12 + -10x + 3x2 + 10x3 + -5x4 = 0 + -10x3 + 10x3 + 5x4 + -5x4
12 + -10x + 3x2 + 10x3 + -5x4 = -10x3 + 10x3 + 5x4 + -5x4

Combine like terms: -10x3 + 10x3 = 0
12 + -10x + 3x2 + 10x3 + -5x4 = 0 + 5x4 + -5x4
12 + -10x + 3x2 + 10x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
12 + -10x + 3x2 + 10x3 + -5x4 = 0

The solution to this equation could not be determined.

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