m^2(18m+15)=7m

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Solution for m^2(18m+15)=7m equation: 


Simplifying
m2(18m + 15) = 7m

Reorder the terms:
m2(15 + 18m) = 7m
(15 * m2 + 18m * m2) = 7m
(15m2 + 18m3) = 7m

Solving
15m2 + 18m3 = 7m

Solving for variable 'm'.

Reorder the terms:
-7m + 15m2 + 18m3 = 7m + -7m

Combine like terms: 7m + -7m = 0
-7m + 15m2 + 18m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-7 + 15m + 18m2) = 0

Factor a trinomial.
m((-7 + -6m)(1 + -3m)) = 0


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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-7 + -6m)' equal to zero and attempt to solve:

Simplifying
-7 + -6m = 0

Solving
-7 + -6m = 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 + -6m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6m = 0 + 7
-6m = 0 + 7

Combine like terms: 0 + 7 = 7
-6m = 7

Divide each side by '-6'.
m = -1.166666667

Simplifying
m = -1.166666667

Subproblem 3
Set the factor '(1 + -3m)' equal to zero and attempt to solve:

Simplifying
1 + -3m = 0

Solving
1 + -3m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3m = 0 + -1
-3m = 0 + -1

Combine like terms: 0 + -1 = -1
-3m = -1

Divide each side by '-3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Solution
m = {0, -1.166666667, 0.3333333333}

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