(x^2+0.25x)=0

Solution for (x^2+0.25x)=0 equation:

Simplifying
(x2 + 0.25x) = 0

Reorder the terms:
(0.25x + x2) = 0

Remove parenthesis around (0.25x + x2)
0.25x + x2 = 0

Solving
0.25x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(0.25 + x) = 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 '(0.25 + x)' equal to zero and attempt to solve:

Simplifying
0.25 + x = 0

Solving
0.25 + x = 0

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x = 0 + -0.25
x = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
x = -0.25

Simplifying
x = -0.25
Solution
x = {0, -0.25}