x^2(-x+69)=0

Solution for x^2(-x+69)=0 equation:

Simplifying
x2(-1x + 69) = 0

Reorder the terms:
x2(69 + -1x) = 0
(69 * x2 + -1x * x2) = 0
(69x2 + -1x3) = 0

Solving
69x2 + -1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(69 + -1x) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
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}