20x^3+57x+13x=0

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Solution for 20x^3+57x+13x=0 equation: 


Simplifying
20x3 + 57x + 13x = 0

Reorder the terms:
57x + 13x + 20x3 = 0

Combine like terms: 57x + 13x = 70x
70x + 20x3 = 0

Solving
70x + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(7 + 2x2) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 2x2)' equal to zero and attempt to solve:

Simplifying
7 + 2x2 = 0

Solving
7 + 2x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x2 = 0 + -7
2x2 = 0 + -7

Combine like terms: 0 + -7 = -7
2x2 = -7

Divide each side by '2'.
x2 = -3.5

Simplifying
x2 = -3.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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