2r(4+8r-6)=

Solution for 2r(4+8r-6)= equation:

Simplifying
2r(4 + 8r + -6) = 0

Reorder the terms:
2r(4 + -6 + 8r) = 0

Combine like terms: 4 + -6 = -2
2r(-2 + 8r) = 0
(-2 * 2r + 8r * 2r) = 0
(-4r + 16r2) = 0

Solving
-4r + 16r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4r'.
4r(-1 + 4r) = 0

Ignore the factor 4.
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 + 4r)' equal to zero and attempt to solve:

Simplifying
-1 + 4r = 0

Solving
-1 + 4r = 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 + 4r = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4r = 0 + 1
4r = 0 + 1

Combine like terms: 0 + 1 = 1
4r = 1

Divide each side by '4'.
r = 0.25

Simplifying
r = 0.25
Solution
r = {0, 0.25}