8x+16x^2y=

Solution for 8x+16x^2y= equation:

Simplifying
8x + 16x2y = 0

Solving
8x + 16x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(1 + 2xy) = 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 + 2xy)' equal to zero and attempt to solve:

Simplifying
1 + 2xy = 0

Solving
1 + 2xy = 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 + 2xy = 0 + -1

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

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

Divide each side by '2y'.
x = -0.5y-1

Simplifying
x = -0.5y-1
Solution
x = {0, -0.5y-1}