8(4m^2+12m+9)+14(2m+3)-15=0

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Solution for 8(4m^2+12m+9)+14(2m+3)-15=0 equation: 


Simplifying
8(4m2 + 12m + 9) + 14(2m + 3) + -15 = 0

Reorder the terms:
8(9 + 12m + 4m2) + 14(2m + 3) + -15 = 0
(9 * 8 + 12m * 8 + 4m2 * 8) + 14(2m + 3) + -15 = 0
(72 + 96m + 32m2) + 14(2m + 3) + -15 = 0

Reorder the terms:
72 + 96m + 32m2 + 14(3 + 2m) + -15 = 0
72 + 96m + 32m2 + (3 * 14 + 2m * 14) + -15 = 0
72 + 96m + 32m2 + (42 + 28m) + -15 = 0

Reorder the terms:
72 + 42 + -15 + 96m + 28m + 32m2 = 0

Combine like terms: 72 + 42 = 114
114 + -15 + 96m + 28m + 32m2 = 0

Combine like terms: 114 + -15 = 99
99 + 96m + 28m + 32m2 = 0

Combine like terms: 96m + 28m = 124m
99 + 124m + 32m2 = 0

Solving
99 + 124m + 32m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(11 + 4m)(9 + 8m) = 0


Subproblem 1
Set the factor '(11 + 4m)' equal to zero and attempt to solve:

Simplifying
11 + 4m = 0

Solving
11 + 4m = 0

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

Add '-11' to each side of the equation.
11 + -11 + 4m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4m = 0 + -11
4m = 0 + -11

Combine like terms: 0 + -11 = -11
4m = -11

Divide each side by '4'.
m = -2.75

Simplifying
m = -2.75

Subproblem 2
Set the factor '(9 + 8m)' equal to zero and attempt to solve:

Simplifying
9 + 8m = 0

Solving
9 + 8m = 0

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

Add '-9' to each side of the equation.
9 + -9 + 8m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8m = 0 + -9
8m = 0 + -9

Combine like terms: 0 + -9 = -9
8m = -9

Divide each side by '8'.
m = -1.125

Simplifying
m = -1.125
Solution
m = {-2.75, -1.125}

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