(5x^2)-(x)=0

Solution for (5x^2)-(x)=0 equation:

Simplifying
(5x2) + -1(x) = 0

Reorder the terms:
-1x + (5x2) = 0

Solving
-1x + (5x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + (5x)) = 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 '(-1 + (5x))' equal to zero and attempt to solve:

Simplifying
-1 + (5x) = 0

Solving
-1 + (5x) = 0

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

Add '1' to each side of the equation.
-1 + 1 + (5x) = 0 + 1

Combine like terms: -1 + 1 = 0
0 + (5x) = 0 + 1
(5x) = 0 + 1

Combine like terms: 0 + 1 = 1
(5x) = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0, 0.2}