(4r^3+3r^4)-(r^4-5r)=0

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Solution for (4r^3+3r^4)-(r^4-5r)=0 equation: 


Simplifying
(4r3 + 3r4) + -1(r4 + -5r) = 0

Remove parenthesis around (4r3 + 3r4)
4r3 + 3r4 + -1(r4 + -5r) = 0

Reorder the terms:
4r3 + 3r4 + -1(-5r + r4) = 0
4r3 + 3r4 + (-5r * -1 + r4 * -1) = 0
4r3 + 3r4 + (5r + -1r4) = 0

Reorder the terms:
5r + 4r3 + 3r4 + -1r4 = 0

Combine like terms: 3r4 + -1r4 = 2r4
5r + 4r3 + 2r4 = 0

Solving
5r + 4r3 + 2r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(5 + 4r2 + 2r3) = 0


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 + 4r2 + 2r3)' equal to zero and attempt to solve:

Simplifying
5 + 4r2 + 2r3 = 0

Solving
5 + 4r2 + 2r3 = 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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