-45x^3+111x^2=0

Solution for -45x^3+111x^2=0 equation:

Simplifying
-45x3 + 111x2 = 0

Reorder the terms:
111x2 + -45x3 = 0

Solving
111x2 + -45x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(37 + -15x) = 0

Ignore the factor 3.
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 '(37 + -15x)' equal to zero and attempt to solve:

Simplifying
37 + -15x = 0

Solving
37 + -15x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -15x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -15x = 0 + -37
-15x = 0 + -37

Combine like terms: 0 + -37 = -37
-15x = -37

Divide each side by '-15'.
x = 2.466666667

Simplifying
x = 2.466666667
Solution
x = {0, 2.466666667}