16x^2=8x

Solution for 16x^2=8x equation:

Simplifying
16x2 = 8x

Solving
16x2 = 8x

Solving for variable 'x'.

Reorder the terms:
-8x + 16x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-1 + 2x) = 0

Ignore the factor 8.
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 '(-1 + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0, 0.5}