0=x^4+8x^3+25x^2+66x+30

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Solution for 0=x^4+8x^3+25x^2+66x+30 equation: 


Simplifying
0 = x4 + 8x3 + 25x2 + 66x + 30

Reorder the terms:
0 = 30 + 66x + 25x2 + 8x3 + x4

Solving
0 = 30 + 66x + 25x2 + 8x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -30 = -30
-30 + -66x + -25x2 + -8x3 + -1x4 = 30 + 66x + 25x2 + 8x3 + x4 + -30 + -66x + -25x2 + -8x3 + -1x4

Reorder the terms:
-30 + -66x + -25x2 + -8x3 + -1x4 = 30 + -30 + 66x + -66x + 25x2 + -25x2 + 8x3 + -8x3 + x4 + -1x4

Combine like terms: 30 + -30 = 0
-30 + -66x + -25x2 + -8x3 + -1x4 = 0 + 66x + -66x + 25x2 + -25x2 + 8x3 + -8x3 + x4 + -1x4
-30 + -66x + -25x2 + -8x3 + -1x4 = 66x + -66x + 25x2 + -25x2 + 8x3 + -8x3 + x4 + -1x4

Combine like terms: 66x + -66x = 0
-30 + -66x + -25x2 + -8x3 + -1x4 = 0 + 25x2 + -25x2 + 8x3 + -8x3 + x4 + -1x4
-30 + -66x + -25x2 + -8x3 + -1x4 = 25x2 + -25x2 + 8x3 + -8x3 + x4 + -1x4

Combine like terms: 25x2 + -25x2 = 0
-30 + -66x + -25x2 + -8x3 + -1x4 = 0 + 8x3 + -8x3 + x4 + -1x4
-30 + -66x + -25x2 + -8x3 + -1x4 = 8x3 + -8x3 + x4 + -1x4

Combine like terms: 8x3 + -8x3 = 0
-30 + -66x + -25x2 + -8x3 + -1x4 = 0 + x4 + -1x4
-30 + -66x + -25x2 + -8x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-30 + -66x + -25x2 + -8x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(30 + 66x + 25x2 + 8x3 + x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(30 + 66x + 25x2 + 8x3 + x4)' equal to zero and attempt to solve:

Simplifying
30 + 66x + 25x2 + 8x3 + x4 = 0

Solving
30 + 66x + 25x2 + 8x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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