20x^2=100x

Solution for 20x^2=100x equation:

Simplifying
20x2 = 100x

Solving
20x2 = 100x

Solving for variable 'x'.

Reorder the terms:
-100x + 20x2 = 100x + -100x

Combine like terms: 100x + -100x = 0
-100x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '20x'.
20x(-5 + x) = 0

Ignore the factor 20.
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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 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 + x = 0 + 5

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

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

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