16x^2=2x

Solution for 16x^2=2x equation:

Simplifying
16x2 = 2x

Solving
16x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-2x + 16x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-2x + 16x2 = 0

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

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

Simplifying
-1 + 8x = 0

Solving
-1 + 8x = 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 + 8x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 0 + 1
8x = 0 + 1

Combine like terms: 0 + 1 = 1
8x = 1

Divide each side by '8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {0, 0.125}