0=1+20x^2+8x^3+30x^4

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Solution for 0=1+20x^2+8x^3+30x^4 equation:


Simplifying
0 = 1 + 20x2 + 8x3 + 30x4

Solving
0 = 1 + 20x2 + 8x3 + 30x4

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + -20x2 + -8x3 + -30x4 = 1 + 20x2 + 8x3 + 30x4 + -1 + -20x2 + -8x3 + -30x4

Reorder the terms:
-1 + -20x2 + -8x3 + -30x4 = 1 + -1 + 20x2 + -20x2 + 8x3 + -8x3 + 30x4 + -30x4

Combine like terms: 1 + -1 = 0
-1 + -20x2 + -8x3 + -30x4 = 0 + 20x2 + -20x2 + 8x3 + -8x3 + 30x4 + -30x4
-1 + -20x2 + -8x3 + -30x4 = 20x2 + -20x2 + 8x3 + -8x3 + 30x4 + -30x4

Combine like terms: 20x2 + -20x2 = 0
-1 + -20x2 + -8x3 + -30x4 = 0 + 8x3 + -8x3 + 30x4 + -30x4
-1 + -20x2 + -8x3 + -30x4 = 8x3 + -8x3 + 30x4 + -30x4

Combine like terms: 8x3 + -8x3 = 0
-1 + -20x2 + -8x3 + -30x4 = 0 + 30x4 + -30x4
-1 + -20x2 + -8x3 + -30x4 = 30x4 + -30x4

Combine like terms: 30x4 + -30x4 = 0
-1 + -20x2 + -8x3 + -30x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 20x2 + 8x3 + 30x4) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + 20x2 + 8x3 + 30x4)' equal to zero and attempt to solve: Simplifying 1 + 20x2 + 8x3 + 30x4 = 0 Solving 1 + 20x2 + 8x3 + 30x4 = 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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