5x^2-400x=0

Solution for 5x^2-400x=0 equation:

Simplifying
5x2 + -400x = 0

Reorder the terms:
-400x + 5x2 = 0

Solving
-400x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-80 + x) = 0

Ignore the factor 5.
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 '(-80 + x)' equal to zero and attempt to solve:

Simplifying
-80 + x = 0

Solving
-80 + x = 0

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

Add '80' to each side of the equation.
-80 + 80 + x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + x = 0 + 80
x = 0 + 80

Combine like terms: 0 + 80 = 80
x = 80

Simplifying
x = 80
Solution
x = {0, 80}