45X^3=500X

Solution for 45X^3=500X equation:

Simplifying
45X3 = 500X

Solving
45X3 = 500X

Solving for variable 'X'.

Reorder the terms:
-500X + 45X3 = 500X + -500X

Combine like terms: 500X + -500X = 0
-500X + 45X3 = 0

Factor out the Greatest Common Factor (GCF), '5X'.
5X(-100 + 9X2) = 0

Factor a difference between two squares.
5X((10 + 3X)(-10 + 3X)) = 0

Ignore the factor 5.
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 '(10 + 3X)' equal to zero and attempt to solve:

Simplifying
10 + 3X = 0

Solving
10 + 3X = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3X = 0 + -10
3X = 0 + -10

Combine like terms: 0 + -10 = -10
3X = -10

Divide each side by '3'.
X = -3.333333333

Simplifying
X = -3.333333333
Subproblem 3
Set the factor '(-10 + 3X)' equal to zero and attempt to solve:

Simplifying
-10 + 3X = 0

Solving
-10 + 3X = 0

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

Add '10' to each side of the equation.
-10 + 10 + 3X = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3X = 0 + 10
3X = 0 + 10

Combine like terms: 0 + 10 = 10
3X = 10

Divide each side by '3'.
X = 3.333333333

Simplifying
X = 3.333333333
Solution
X = {0, -3.333333333, 3.333333333}