2r=6r^4+r^3-7r^2-8r

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Solution for 2r=6r^4+r^3-7r^2-8r equation: 


Simplifying
2r = 6r4 + r3 + -7r2 + -8r

Reorder the terms:
2r = -8r + -7r2 + r3 + 6r4

Solving
2r = -8r + -7r2 + r3 + 6r4

Solving for variable 'r'.

Combine like terms: 2r + 8r = 10r
10r + 7r2 + -1r3 + -6r4 = -8r + -7r2 + r3 + 6r4 + 8r + 7r2 + -1r3 + -6r4

Reorder the terms:
10r + 7r2 + -1r3 + -6r4 = -8r + 8r + -7r2 + 7r2 + r3 + -1r3 + 6r4 + -6r4

Combine like terms: -8r + 8r = 0
10r + 7r2 + -1r3 + -6r4 = 0 + -7r2 + 7r2 + r3 + -1r3 + 6r4 + -6r4
10r + 7r2 + -1r3 + -6r4 = -7r2 + 7r2 + r3 + -1r3 + 6r4 + -6r4

Combine like terms: -7r2 + 7r2 = 0
10r + 7r2 + -1r3 + -6r4 = 0 + r3 + -1r3 + 6r4 + -6r4
10r + 7r2 + -1r3 + -6r4 = r3 + -1r3 + 6r4 + -6r4

Combine like terms: r3 + -1r3 = 0
10r + 7r2 + -1r3 + -6r4 = 0 + 6r4 + -6r4
10r + 7r2 + -1r3 + -6r4 = 6r4 + -6r4

Combine like terms: 6r4 + -6r4 = 0
10r + 7r2 + -1r3 + -6r4 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(10 + 7r + -1r2 + -6r3) = 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 '(10 + 7r + -1r2 + -6r3)' equal to zero and attempt to solve:

Simplifying
10 + 7r + -1r2 + -6r3 = 0

Solving
10 + 7r + -1r2 + -6r3 = 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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