6x^2=83x

Solution for 6x^2=83x equation:

Simplifying
6x2 = 83x

Solving
6x2 = 83x

Solving for variable 'x'.

Reorder the terms:
-83x + 6x2 = 83x + -83x

Combine like terms: 83x + -83x = 0
-83x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-83 + 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 '(-83 + 6x)' equal to zero and attempt to solve:

Simplifying
-83 + 6x = 0

Solving
-83 + 6x = 0

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

Add '83' to each side of the equation.
-83 + 83 + 6x = 0 + 83

Combine like terms: -83 + 83 = 0
0 + 6x = 0 + 83
6x = 0 + 83

Combine like terms: 0 + 83 = 83
6x = 83

Divide each side by '6'.
x = 13.83333333

Simplifying
x = 13.83333333
Solution
x = {0, 13.83333333}