x(x+2.6)=0

Solution for x(x+2.6)=0 equation:

Simplifying
x(x + 2.6) = 0

Reorder the terms:
x(2.6 + x) = 0
(2.6 * x + x * x) = 0
(2.6x + x2) = 0

Solving
2.6x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2.6 + 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 '(2.6 + x)' equal to zero and attempt to solve:

Simplifying
2.6 + x = 0

Solving
2.6 + x = 0

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

Add '-2.6' to each side of the equation.
2.6 + -2.6 + x = 0 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + x = 0 + -2.6
x = 0 + -2.6

Combine like terms: 0 + -2.6 = -2.6
x = -2.6

Simplifying
x = -2.6
Solution
x = {0, -2.6}