3x^3+170x^2-57x=0

Solution for 3x^3+170x^2-57x=0 equation:

Simplifying
3x3 + 170x2 + -57x = 0

Reorder the terms:
-57x + 170x2 + 3x3 = 0

Solving
-57x + 170x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-57 + 170x + 3x2) = 0

Factor a trinomial.
x((-57 + -1x)(1 + -3x)) = 0

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 '(-57 + -1x)' equal to zero and attempt to solve:

Simplifying
-57 + -1x = 0

Solving
-57 + -1x = 0

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

Add '57' to each side of the equation.
-57 + 57 + -1x = 0 + 57

Combine like terms: -57 + 57 = 0
0 + -1x = 0 + 57
-1x = 0 + 57

Combine like terms: 0 + 57 = 57
-1x = 57

Divide each side by '-1'.
x = -57

Simplifying
x = -57
Subproblem 3
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0, -57, 0.3333333333}