5x^2=50x

Solution for 5x^2=50x equation:

Simplifying
5x2 = 50x

Solving
5x2 = 50x

Solving for variable 'x'.

Reorder the terms:
-50x + 5x2 = 50x + -50x

Combine like terms: 50x + -50x = 0
-50x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-10 + 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 '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10
Solution
x = {0, 10}