61x^2-300x=0

Solution for 61x^2-300x=0 equation:

Simplifying
61x2 + -300x = 0

Reorder the terms:
-300x + 61x2 = 0

Solving
-300x + 61x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-300 + 61x) = 0

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 '(-300 + 61x)' equal to zero and attempt to solve:

Simplifying
-300 + 61x = 0

Solving
-300 + 61x = 0

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

Add '300' to each side of the equation.
-300 + 300 + 61x = 0 + 300

Combine like terms: -300 + 300 = 0
0 + 61x = 0 + 300
61x = 0 + 300

Combine like terms: 0 + 300 = 300
61x = 300

Divide each side by '61'.
x = 4.918032787

Simplifying
x = 4.918032787
Solution
x = {0, 4.918032787}