6r^7+6r^6=9r^5+9r^4

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Solution for 6r^7+6r^6=9r^5+9r^4 equation:


Simplifying
6r7 + 6r6 = 9r5 + 9r4

Reorder the terms:
6r6 + 6r7 = 9r5 + 9r4

Reorder the terms:
6r6 + 6r7 = 9r4 + 9r5

Solving
6r6 + 6r7 = 9r4 + 9r5

Solving for variable 'r'.

Reorder the terms:
-9r4 + -9r5 + 6r6 + 6r7 = 9r4 + 9r5 + -9r4 + -9r5

Reorder the terms:
-9r4 + -9r5 + 6r6 + 6r7 = 9r4 + -9r4 + 9r5 + -9r5

Combine like terms: 9r4 + -9r4 = 0
-9r4 + -9r5 + 6r6 + 6r7 = 0 + 9r5 + -9r5
-9r4 + -9r5 + 6r6 + 6r7 = 9r5 + -9r5

Combine like terms: 9r5 + -9r5 = 0
-9r4 + -9r5 + 6r6 + 6r7 = 0

Factor out the Greatest Common Factor (GCF), '3r4'.
3r4(-3 + -3r + 2r2 + 2r3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'r4' equal to zero and attempt to solve: Simplifying r4 = 0 Solving r4 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-3 + -3r + 2r2 + 2r3)' equal to zero and attempt to solve: Simplifying -3 + -3r + 2r2 + 2r3 = 0 Solving -3 + -3r + 2r2 + 2r3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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