15X^2-61X=0

Solution for 15X^2-61X=0 equation:

Simplifying
15X2 + -61X = 0

Reorder the terms:
-61X + 15X2 = 0

Solving
-61X + 15X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-61 + 15X) = 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 '(-61 + 15X)' equal to zero and attempt to solve:

Simplifying
-61 + 15X = 0

Solving
-61 + 15X = 0

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

Add '61' to each side of the equation.
-61 + 61 + 15X = 0 + 61

Combine like terms: -61 + 61 = 0
0 + 15X = 0 + 61
15X = 0 + 61

Combine like terms: 0 + 61 = 61
15X = 61

Divide each side by '15'.
X = 4.066666667

Simplifying
X = 4.066666667
Solution
X = {0, 4.066666667}