21m^8p^3+132m^7p^4-105m^6p^5=0

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Solution for 21m^8p^3+132m^7p^4-105m^6p^5=0 equation: 


Simplifying
21m8p3 + 132m7p4 + -105m6p5 = 0

Reorder the terms:
-105m6p5 + 132m7p4 + 21m8p3 = 0

Solving
-105m6p5 + 132m7p4 + 21m8p3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m6p3'.
3m6p3(-35p2 + 44mp + 7m2) = 0

Factor a trinomial.
3m6p3((-7p + -1m)(5p + -7m)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'm6p3' equal to zero and attempt to solve:

Simplifying
m6p3 = 0

Solving
m6p3 = 0

Move all terms containing m to the left, all other terms to the right.

Simplifying
m6p3 = 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 '(-7p + -1m)' equal to zero and attempt to solve:

Simplifying
-7p + -1m = 0

Reorder the terms:
-1m + -7p = 0

Solving
-1m + -7p = 0

Move all terms containing m to the left, all other terms to the right.

Add '7p' to each side of the equation.
-1m + -7p + 7p = 0 + 7p

Combine like terms: -7p + 7p = 0
-1m + 0 = 0 + 7p
-1m = 0 + 7p
Remove the zero:
-1m = 7p

Divide each side by '-1'.
m = -7p

Simplifying
m = -7p

Subproblem 3
Set the factor '(5p + -7m)' equal to zero and attempt to solve:

Simplifying
5p + -7m = 0

Reorder the terms:
-7m + 5p = 0

Solving
-7m + 5p = 0

Move all terms containing m to the left, all other terms to the right.

Add '-5p' to each side of the equation.
-7m + 5p + -5p = 0 + -5p

Combine like terms: 5p + -5p = 0
-7m + 0 = 0 + -5p
-7m = 0 + -5p
Remove the zero:
-7m = -5p

Divide each side by '-7'.
m = 0.7142857143p

Simplifying
m = 0.7142857143p
Solution
m = {-7p, 0.7142857143p}

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