x(6x-13)=0

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Solution for x(6x-13)=0 equation: 


Simplifying
x(6x + -13) = 0

Reorder the terms:
x(-13 + 6x) = 0
(-13 * x + 6x * x) = 0
(-13x + 6x2) = 0

Solving
-13x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-13 + 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 '(-13 + 6x)' equal to zero and attempt to solve:

Simplifying
-13 + 6x = 0

Solving
-13 + 6x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 6x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 6x = 0 + 13
6x = 0 + 13

Combine like terms: 0 + 13 = 13
6x = 13

Divide each side by '6'.
x = 2.166666667

Simplifying
x = 2.166666667
Solution
x = {0, 2.166666667}

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