4x^2-400x=0

Solution for 4x^2-400x=0 equation:

Simplifying
4x2 + -400x = 0

Reorder the terms:
-400x + 4x2 = 0

Solving
-400x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-100 + x) = 0

Ignore the factor 4.
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 '(-100 + x)' equal to zero and attempt to solve:

Simplifying
-100 + x = 0

Solving
-100 + x = 0

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

Add '100' to each side of the equation.
-100 + 100 + x = 0 + 100

Combine like terms: -100 + 100 = 0
0 + x = 0 + 100
x = 0 + 100

Combine like terms: 0 + 100 = 100
x = 100

Simplifying
x = 100
Solution
x = {0, 100}