21x^2-13x=0

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

Simplifying
21x2 + -13x = 0

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

Solving
-13x + 21x2 = 0

Solving for variable 'x'.

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

Simplifying
-13 + 21x = 0

Solving
-13 + 21x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 21x = 0 + 13

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

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

Divide each side by '21'.
x = 0.619047619

Simplifying
x = 0.619047619
Solution
x = {0, 0.619047619}