13x^2-21x=0

Solution for 13x^2-21x=0 equation:

Simplifying
13x2 + -21x = 0

Reorder the terms:
-21x + 13x2 = 0

Solving
-21x + 13x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-21 + 13x) = 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 '(-21 + 13x)' equal to zero and attempt to solve:

Simplifying
-21 + 13x = 0

Solving
-21 + 13x = 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 + 13x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 13x = 0 + 21
13x = 0 + 21

Combine like terms: 0 + 21 = 21
13x = 21

Divide each side by '13'.
x = 1.615384615

Simplifying
x = 1.615384615
Solution
x = {0, 1.615384615}