0=6x^2-31x

Solution for 0=6x^2-31x equation:

Simplifying
0 = 6x2 + -31x

Reorder the terms:
0 = -31x + 6x2

Solving
0 = -31x + 6x2

Solving for variable 'x'.
Remove the zero:
31x + -6x2 = -31x + 6x2 + 31x + -6x2

Reorder the terms:
31x + -6x2 = -31x + 31x + 6x2 + -6x2

Combine like terms: -31x + 31x = 0
31x + -6x2 = 0 + 6x2 + -6x2
31x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
31x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(31 + -6x) = 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 '(31 + -6x)' equal to zero and attempt to solve:

Simplifying
31 + -6x = 0

Solving
31 + -6x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -6x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -6x = 0 + -31
-6x = 0 + -31

Combine like terms: 0 + -31 = -31
-6x = -31

Divide each side by '-6'.
x = 5.166666667

Simplifying
x = 5.166666667
Solution
x = {0, 5.166666667}