24m^3p+44m^2p-140mp=

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Solution for 24m^3p+44m^2p-140mp= equation: 


Simplifying
24m3p + 44m2p + -140mp = 0

Reorder the terms:
-140mp + 44m2p + 24m3p = 0

Solving
-140mp + 44m2p + 24m3p = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4mp'.
4mp(-35 + 11m + 6m2) = 0

Factor a trinomial.
4mp((-7 + -2m)(5 + -3m)) = 0

Ignore the factor 4.

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

Simplifying
mp = 0

Solving
mp = 0

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

Simplifying
mp = 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 '(-7 + -2m)' equal to zero and attempt to solve:

Simplifying
-7 + -2m = 0

Solving
-7 + -2m = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2m = 0 + 7
-2m = 0 + 7

Combine like terms: 0 + 7 = 7
-2m = 7

Divide each side by '-2'.
m = -3.5

Simplifying
m = -3.5

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

Simplifying
5 + -3m = 0

Solving
5 + -3m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = 0 + -5
-3m = 0 + -5

Combine like terms: 0 + -5 = -5
-3m = -5

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667
Solution
m = {-3.5, 1.666666667}

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