x(81x-64)=0

Solution for x(81x-64)=0 equation:

Simplifying
x(81x + -64) = 0

Reorder the terms:
x(-64 + 81x) = 0
(-64 * x + 81x * x) = 0
(-64x + 81x2) = 0

Solving
-64x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-64 + 81x) = 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 '(-64 + 81x)' equal to zero and attempt to solve:

Simplifying
-64 + 81x = 0

Solving
-64 + 81x = 0

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

Add '64' to each side of the equation.
-64 + 64 + 81x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 81x = 0 + 64
81x = 0 + 64

Combine like terms: 0 + 64 = 64
81x = 64

Divide each side by '81'.
x = 0.7901234568

Simplifying
x = 0.7901234568
Solution
x = {0, 0.7901234568}