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

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


Simplifying
(r2 + 3r + 3r4) + -1(4r4 + 8r + 3r2) = 0

Reorder the terms:
(3r + r2 + 3r4) + -1(4r4 + 8r + 3r2) = 0

Remove parenthesis around (3r + r2 + 3r4)
3r + r2 + 3r4 + -1(4r4 + 8r + 3r2) = 0

Reorder the terms:
3r + r2 + 3r4 + -1(8r + 3r2 + 4r4) = 0
3r + r2 + 3r4 + (8r * -1 + 3r2 * -1 + 4r4 * -1) = 0
3r + r2 + 3r4 + (-8r + -3r2 + -4r4) = 0

Reorder the terms:
3r + -8r + r2 + -3r2 + 3r4 + -4r4 = 0

Combine like terms: 3r + -8r = -5r
-5r + r2 + -3r2 + 3r4 + -4r4 = 0

Combine like terms: r2 + -3r2 = -2r2
-5r + -2r2 + 3r4 + -4r4 = 0

Combine like terms: 3r4 + -4r4 = -1r4
-5r + -2r2 + -1r4 = 0

Solving
-5r + -2r2 + -1r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '-1r'.
-1r(5 + 2r + r3) = 0

Ignore the factor -1.

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 '(5 + 2r + r3)' equal to zero and attempt to solve:

Simplifying
5 + 2r + r3 = 0

Solving
5 + 2r + 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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