(3m+4)(3m-2)=-2m(5m+17)-12

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Solution for (3m+4)(3m-2)=-2m(5m+17)-12 equation: 


Simplifying
(3m + 4)(3m + -2) = -2m(5m + 17) + -12

Reorder the terms:
(4 + 3m)(3m + -2) = -2m(5m + 17) + -12

Reorder the terms:
(4 + 3m)(-2 + 3m) = -2m(5m + 17) + -12

Multiply (4 + 3m) * (-2 + 3m)
(4(-2 + 3m) + 3m * (-2 + 3m)) = -2m(5m + 17) + -12
((-2 * 4 + 3m * 4) + 3m * (-2 + 3m)) = -2m(5m + 17) + -12
((-8 + 12m) + 3m * (-2 + 3m)) = -2m(5m + 17) + -12
(-8 + 12m + (-2 * 3m + 3m * 3m)) = -2m(5m + 17) + -12
(-8 + 12m + (-6m + 9m2)) = -2m(5m + 17) + -12

Combine like terms: 12m + -6m = 6m
(-8 + 6m + 9m2) = -2m(5m + 17) + -12

Reorder the terms:
-8 + 6m + 9m2 = -2m(17 + 5m) + -12
-8 + 6m + 9m2 = (17 * -2m + 5m * -2m) + -12
-8 + 6m + 9m2 = (-34m + -10m2) + -12

Reorder the terms:
-8 + 6m + 9m2 = -12 + -34m + -10m2

Solving
-8 + 6m + 9m2 = -12 + -34m + -10m2

Solving for variable 'm'.

Reorder the terms:
-8 + 12 + 6m + 34m + 9m2 + 10m2 = -12 + -34m + -10m2 + 12 + 34m + 10m2

Combine like terms: -8 + 12 = 4
4 + 6m + 34m + 9m2 + 10m2 = -12 + -34m + -10m2 + 12 + 34m + 10m2

Combine like terms: 6m + 34m = 40m
4 + 40m + 9m2 + 10m2 = -12 + -34m + -10m2 + 12 + 34m + 10m2

Combine like terms: 9m2 + 10m2 = 19m2
4 + 40m + 19m2 = -12 + -34m + -10m2 + 12 + 34m + 10m2

Reorder the terms:
4 + 40m + 19m2 = -12 + 12 + -34m + 34m + -10m2 + 10m2

Combine like terms: -12 + 12 = 0
4 + 40m + 19m2 = 0 + -34m + 34m + -10m2 + 10m2
4 + 40m + 19m2 = -34m + 34m + -10m2 + 10m2

Combine like terms: -34m + 34m = 0
4 + 40m + 19m2 = 0 + -10m2 + 10m2
4 + 40m + 19m2 = -10m2 + 10m2

Combine like terms: -10m2 + 10m2 = 0
4 + 40m + 19m2 = 0

Factor a trinomial.
(2 + m)(2 + 19m) = 0


Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 0

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

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

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

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

Simplifying
m = -2

Subproblem 2
Set the factor '(2 + 19m)' equal to zero and attempt to solve:

Simplifying
2 + 19m = 0

Solving
2 + 19m = 0

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

Add '-2' to each side of the equation.
2 + -2 + 19m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 19m = 0 + -2
19m = 0 + -2

Combine like terms: 0 + -2 = -2
19m = -2

Divide each side by '19'.
m = -0.1052631579

Simplifying
m = -0.1052631579
Solution
m = {-2, -0.1052631579}

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