61x^2-150x=0

Solution for 61x^2-150x=0 equation:

Simplifying
61x2 + -150x = 0

Reorder the terms:
-150x + 61x2 = 0

Solving
-150x + 61x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-150 + 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 '(-150 + 61x)' equal to zero and attempt to solve:

Simplifying
-150 + 61x = 0

Solving
-150 + 61x = 0

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

Add '150' to each side of the equation.
-150 + 150 + 61x = 0 + 150

Combine like terms: -150 + 150 = 0
0 + 61x = 0 + 150
61x = 0 + 150

Combine like terms: 0 + 150 = 150
61x = 150

Divide each side by '61'.
x = 2.459016393

Simplifying
x = 2.459016393
Solution
x = {0, 2.459016393}