2(8r^3+r)-4r=

Solution for 2(8r^3+r)-4r= equation:

Simplifying
2(8r3 + r) + -4r = 0

Reorder the terms:
2(r + 8r3) + -4r = 0
(r * 2 + 8r3 * 2) + -4r = 0
(2r + 16r3) + -4r = 0

Reorder the terms:
2r + -4r + 16r3 = 0

Combine like terms: 2r + -4r = -2r
-2r + 16r3 = 0

Solving
-2r + 16r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-1 + 8r2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-1 + 8r2)' equal to zero and attempt to solve:

Simplifying
-1 + 8r2 = 0

Solving
-1 + 8r2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 8r2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8r2 = 0 + 1
8r2 = 0 + 1

Combine like terms: 0 + 1 = 1
8r2 = 1

Divide each side by '8'.
r2 = 0.125

Simplifying
r2 = 0.125

Take the square root of each side:
r = {-0.353553391, 0.353553391}
Solution
r = {0, -0.353553391, 0.353553391}