0=2x^3+6x^2+5x+1

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Solution for 0=2x^3+6x^2+5x+1 equation:


Simplifying
0 = 2x3 + 6x2 + 5x + 1

Reorder the terms:
0 = 1 + 5x + 6x2 + 2x3

Solving
0 = 1 + 5x + 6x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + -5x + -6x2 + -2x3 = 1 + 5x + 6x2 + 2x3 + -1 + -5x + -6x2 + -2x3

Reorder the terms:
-1 + -5x + -6x2 + -2x3 = 1 + -1 + 5x + -5x + 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: 1 + -1 = 0
-1 + -5x + -6x2 + -2x3 = 0 + 5x + -5x + 6x2 + -6x2 + 2x3 + -2x3
-1 + -5x + -6x2 + -2x3 = 5x + -5x + 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: 5x + -5x = 0
-1 + -5x + -6x2 + -2x3 = 0 + 6x2 + -6x2 + 2x3 + -2x3
-1 + -5x + -6x2 + -2x3 = 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: 6x2 + -6x2 = 0
-1 + -5x + -6x2 + -2x3 = 0 + 2x3 + -2x3
-1 + -5x + -6x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-1 + -5x + -6x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 5x + 6x2 + 2x3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + 5x + 6x2 + 2x3)' equal to zero and attempt to solve: Simplifying 1 + 5x + 6x2 + 2x3 = 0 Solving 1 + 5x + 6x2 + 2x3 = 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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