0=x^3+13x^2+57x+85

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Solution for 0=x^3+13x^2+57x+85 equation:


Simplifying
0 = x3 + 13x2 + 57x + 85

Reorder the terms:
0 = 85 + 57x + 13x2 + x3

Solving
0 = 85 + 57x + 13x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + -85 = -85
-85 + -57x + -13x2 + -1x3 = 85 + 57x + 13x2 + x3 + -85 + -57x + -13x2 + -1x3

Reorder the terms:
-85 + -57x + -13x2 + -1x3 = 85 + -85 + 57x + -57x + 13x2 + -13x2 + x3 + -1x3

Combine like terms: 85 + -85 = 0
-85 + -57x + -13x2 + -1x3 = 0 + 57x + -57x + 13x2 + -13x2 + x3 + -1x3
-85 + -57x + -13x2 + -1x3 = 57x + -57x + 13x2 + -13x2 + x3 + -1x3

Combine like terms: 57x + -57x = 0
-85 + -57x + -13x2 + -1x3 = 0 + 13x2 + -13x2 + x3 + -1x3
-85 + -57x + -13x2 + -1x3 = 13x2 + -13x2 + x3 + -1x3

Combine like terms: 13x2 + -13x2 = 0
-85 + -57x + -13x2 + -1x3 = 0 + x3 + -1x3
-85 + -57x + -13x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-85 + -57x + -13x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(85 + 57x + 13x2 + x3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(85 + 57x + 13x2 + x3)' equal to zero and attempt to solve: Simplifying 85 + 57x + 13x2 + x3 = 0 Solving 85 + 57x + 13x2 + x3 = 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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