=16m^2+2m-14

Solution for =16m^2+2m-14 equation:

Simplifying
0 = 16m2 + 2m + -14

Reorder the terms:
0 = -14 + 2m + 16m2

Solving
0 = -14 + 2m + 16m2

Solving for variable 'm'.

Combine like terms: 0 + 14 = 14
14 + -2m + -16m2 = -14 + 2m + 16m2 + 14 + -2m + -16m2

Reorder the terms:
14 + -2m + -16m2 = -14 + 14 + 2m + -2m + 16m2 + -16m2

Combine like terms: -14 + 14 = 0
14 + -2m + -16m2 = 0 + 2m + -2m + 16m2 + -16m2
14 + -2m + -16m2 = 2m + -2m + 16m2 + -16m2

Combine like terms: 2m + -2m = 0
14 + -2m + -16m2 = 0 + 16m2 + -16m2
14 + -2m + -16m2 = 16m2 + -16m2

Combine like terms: 16m2 + -16m2 = 0
14 + -2m + -16m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -1m + -8m2) = 0

Factor a trinomial.
2((7 + -8m)(1 + m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(7 + -8m)' equal to zero and attempt to solve:

Simplifying
7 + -8m = 0

Solving
7 + -8m = 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 + -8m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8m = 0 + -7
-8m = 0 + -7

Combine like terms: 0 + -7 = -7
-8m = -7

Divide each side by '-8'.
m = 0.875

Simplifying
m = 0.875
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 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 + m = 0 + -1

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

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

Simplifying
m = -1
Solution
m = {0.875, -1}