2r^2(r^2+1)-8r(r^2+1)=

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Solution for 2r^2(r^2+1)-8r(r^2+1)= equation: 


Simplifying
2r2(r2 + 1) + -8r(r2 + 1) = 0

Reorder the terms:
2r2(1 + r2) + -8r(r2 + 1) = 0
(1 * 2r2 + r2 * 2r2) + -8r(r2 + 1) = 0
(2r2 + 2r4) + -8r(r2 + 1) = 0

Reorder the terms:
2r2 + 2r4 + -8r(1 + r2) = 0
2r2 + 2r4 + (1 * -8r + r2 * -8r) = 0
2r2 + 2r4 + (-8r + -8r3) = 0

Reorder the terms:
-8r + 2r2 + -8r3 + 2r4 = 0

Solving
-8r + 2r2 + -8r3 + 2r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-4 + r + -4r2 + r3) = 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 '(-4 + r + -4r2 + r3)' equal to zero and attempt to solve:

Simplifying
-4 + r + -4r2 + r3 = 0

Solving
-4 + r + -4r2 + r3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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