0=3x^5+11x^4-19x^3-109x^2-52x+30

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Solution for 0=3x^5+11x^4-19x^3-109x^2-52x+30 equation: 


Simplifying
0 = 3x5 + 11x4 + -19x3 + -109x2 + -52x + 30

Reorder the terms:
0 = 30 + -52x + -109x2 + -19x3 + 11x4 + 3x5

Solving
0 = 30 + -52x + -109x2 + -19x3 + 11x4 + 3x5

Solving for variable 'x'.

Combine like terms: 0 + -30 = -30
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 30 + -52x + -109x2 + -19x3 + 11x4 + 3x5 + -30 + 52x + 109x2 + 19x3 + -11x4 + -3x5

Reorder the terms:
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 30 + -30 + -52x + 52x + -109x2 + 109x2 + -19x3 + 19x3 + 11x4 + -11x4 + 3x5 + -3x5

Combine like terms: 30 + -30 = 0
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 0 + -52x + 52x + -109x2 + 109x2 + -19x3 + 19x3 + 11x4 + -11x4 + 3x5 + -3x5
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = -52x + 52x + -109x2 + 109x2 + -19x3 + 19x3 + 11x4 + -11x4 + 3x5 + -3x5

Combine like terms: -52x + 52x = 0
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 0 + -109x2 + 109x2 + -19x3 + 19x3 + 11x4 + -11x4 + 3x5 + -3x5
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = -109x2 + 109x2 + -19x3 + 19x3 + 11x4 + -11x4 + 3x5 + -3x5

Combine like terms: -109x2 + 109x2 = 0
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 0 + -19x3 + 19x3 + 11x4 + -11x4 + 3x5 + -3x5
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = -19x3 + 19x3 + 11x4 + -11x4 + 3x5 + -3x5

Combine like terms: -19x3 + 19x3 = 0
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 0 + 11x4 + -11x4 + 3x5 + -3x5
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 11x4 + -11x4 + 3x5 + -3x5

Combine like terms: 11x4 + -11x4 = 0
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 0 + 3x5 + -3x5
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 3x5 + -3x5

Combine like terms: 3x5 + -3x5 = 0
-30 + 52x + 109x2 + 19x3 + -11x4 + -3x5 = 0

The solution to this equation could not be determined.

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