20x^3-21x^2=0

Solution for 20x^3-21x^2=0 equation:

Simplifying
20x3 + -21x2 = 0

Reorder the terms:
-21x2 + 20x3 = 0

Solving
-21x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-21 + 20x) = 0

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 '(-21 + 20x)' equal to zero and attempt to solve:

Simplifying
-21 + 20x = 0

Solving
-21 + 20x = 0

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

Add '21' to each side of the equation.
-21 + 21 + 20x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 20x = 0 + 21
20x = 0 + 21

Combine like terms: 0 + 21 = 21
20x = 21

Divide each side by '20'.
x = 1.05

Simplifying
x = 1.05
Solution
x = {0, 1.05}