10M^5P^7+36M^4P^8-70M^3P^9=0

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Solution for 10M^5P^7+36M^4P^8-70M^3P^9=0 equation: 


Simplifying
10M5P7 + 36M4P8 + -70M3P9 = 0

Reorder the terms:
-70M3P9 + 36M4P8 + 10M5P7 = 0

Solving
-70M3P9 + 36M4P8 + 10M5P7 = 0

Solving for variable 'M'.

Factor out the Greatest Common Factor (GCF), '2M3P7'.
2M3P7(-35P2 + 18MP + 5M2) = 0

Factor a trinomial.
2M3P7((-5P + -1M)(7P + -5M)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'M3P7' equal to zero and attempt to solve:

Simplifying
M3P7 = 0

Solving
M3P7 = 0

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

Simplifying
M3P7 = 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 '(-5P + -1M)' equal to zero and attempt to solve:

Simplifying
-5P + -1M = 0

Reorder the terms:
-1M + -5P = 0

Solving
-1M + -5P = 0

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

Add '5P' to each side of the equation.
-1M + -5P + 5P = 0 + 5P

Combine like terms: -5P + 5P = 0
-1M + 0 = 0 + 5P
-1M = 0 + 5P
Remove the zero:
-1M = 5P

Divide each side by '-1'.
M = -5P

Simplifying
M = -5P

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

Simplifying
7P + -5M = 0

Reorder the terms:
-5M + 7P = 0

Solving
-5M + 7P = 0

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

Add '-7P' to each side of the equation.
-5M + 7P + -7P = 0 + -7P

Combine like terms: 7P + -7P = 0
-5M + 0 = 0 + -7P
-5M = 0 + -7P
Remove the zero:
-5M = -7P

Divide each side by '-5'.
M = 1.4P

Simplifying
M = 1.4P
Solution
M = {-5P, 1.4P}

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