6r+2t[r-t(r-5t)-r^2]=

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Solution for 6r+2t[r-t(r-5t)-r^2]= equation: 


Simplifying
6r + 2t[r + -1t(r + -5t) + -1r2] = 0
6r + 2t[r + (r * -1t + -5t * -1t) + -1r2] = 0
6r + 2t[r + (-1rt + 5t2) + -1r2] = 0

Reorder the terms:
6r + 2t[r + -1rt + -1r2 + 5t2] = 0
6r + [r * 2t + -1rt * 2t + -1r2 * 2t + 5t2 * 2t] = 0
6r + [2rt + -2rt2 + -2r2t + 10t3] = 0

Solving
6r + 2rt + -2rt2 + -2r2t + 10t3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3r + rt + -1rt2 + -1r2t + 5t3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3r + rt + -1rt2 + -1r2t + 5t3)' equal to zero and attempt to solve:

Simplifying
3r + rt + -1rt2 + -1r2t + 5t3 = 0

Solving
3r + rt + -1rt2 + -1r2t + 5t3 = 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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