(6r^3+11r+8r^4)-(8r^3-10r^4-12r)=

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Solution for (6r^3+11r+8r^4)-(8r^3-10r^4-12r)= equation: 


Simplifying
(6r3 + 11r + 8r4) + -1(8r3 + -10r4 + -12r) = 0

Reorder the terms:
(11r + 6r3 + 8r4) + -1(8r3 + -10r4 + -12r) = 0

Remove parenthesis around (11r + 6r3 + 8r4)
11r + 6r3 + 8r4 + -1(8r3 + -10r4 + -12r) = 0

Reorder the terms:
11r + 6r3 + 8r4 + -1(-12r + 8r3 + -10r4) = 0
11r + 6r3 + 8r4 + (-12r * -1 + 8r3 * -1 + -10r4 * -1) = 0
11r + 6r3 + 8r4 + (12r + -8r3 + 10r4) = 0

Reorder the terms:
11r + 12r + 6r3 + -8r3 + 8r4 + 10r4 = 0

Combine like terms: 11r + 12r = 23r
23r + 6r3 + -8r3 + 8r4 + 10r4 = 0

Combine like terms: 6r3 + -8r3 = -2r3
23r + -2r3 + 8r4 + 10r4 = 0

Combine like terms: 8r4 + 10r4 = 18r4
23r + -2r3 + 18r4 = 0

Solving
23r + -2r3 + 18r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(23 + -2r2 + 18r3) = 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 '(23 + -2r2 + 18r3)' equal to zero and attempt to solve:

Simplifying
23 + -2r2 + 18r3 = 0

Solving
23 + -2r2 + 18r3 = 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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