100x^3=500x^2

Solution for 100x^3=500x^2 equation:

Simplifying
100x3 = 500x2

Solving
100x3 = 500x2

Solving for variable 'x'.

Reorder the terms:
-500x2 + 100x3 = 500x2 + -500x2

Combine like terms: 500x2 + -500x2 = 0
-500x2 + 100x3 = 0

Factor out the Greatest Common Factor (GCF), '100x2'.
100x2(-5 + x) = 0

Ignore the factor 100.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5
Solution
x = {0, 5}