50x^2=15x

Solution for 50x^2=15x equation:

Simplifying
50x2 = 15x

Solving
50x2 = 15x

Solving for variable 'x'.

Reorder the terms:
-15x + 50x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
-15x + 50x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-3 + 10x) = 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 '(-3 + 10x)' equal to zero and attempt to solve:

Simplifying
-3 + 10x = 0

Solving
-3 + 10x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 10x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 0 + 3
10x = 0 + 3

Combine like terms: 0 + 3 = 3
10x = 3

Divide each side by '10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {0, 0.3}