69x(69-x)=

Solution for 69x(69-x)= equation:

Simplifying
69x(69 + -1x) = 0
(69 * 69x + -1x * 69x) = 0
(4761x + -69x2) = 0

Solving
4761x + -69x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '69x'.
69x(69 + -1x) = 0

Ignore the factor 69.
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 '(69 + -1x)' equal to zero and attempt to solve:

Simplifying
69 + -1x = 0

Solving
69 + -1x = 0

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

Add '-69' to each side of the equation.
69 + -69 + -1x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -1x = 0 + -69
-1x = 0 + -69

Combine like terms: 0 + -69 = -69
-1x = -69

Divide each side by '-1'.
x = 69

Simplifying
x = 69
Solution
x = {0, 69}