2r^2+8r^2-64r=

Solution for 2r^2+8r^2-64r= equation:

Simplifying
2r2 + 8r2 + -64r = 0

Reorder the terms:
-64r + 2r2 + 8r2 = 0

Combine like terms: 2r2 + 8r2 = 10r2
-64r + 10r2 = 0

Solving
-64r + 10r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-32 + 5r) = 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 '(-32 + 5r)' equal to zero and attempt to solve:

Simplifying
-32 + 5r = 0

Solving
-32 + 5r = 0

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

Add '32' to each side of the equation.
-32 + 32 + 5r = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 5r = 0 + 32
5r = 0 + 32

Combine like terms: 0 + 32 = 32
5r = 32

Divide each side by '5'.
r = 6.4

Simplifying
r = 6.4
Solution
r = {0, 6.4}