-(x)(x+0)(x-5)=0

Solution for -(x)(x+0)(x-5)=0 equation:

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

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

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

Multiply x * x
-1x2(-5 + x) = 0
(-5 * -1x2 + x * -1x2) = 0
(5x2 + -1x3) = 0

Solving
5x2 + -1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(5 + -1x) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, 5}