-5m^2+3m+14=6

Solution for -5m^2+3m+14=6 equation:

Simplifying
-5m2 + 3m + 14 = 6

Reorder the terms:
14 + 3m + -5m2 = 6

Solving
14 + 3m + -5m2 = 6

Solving for variable 'm'.

Reorder the terms:
14 + -6 + 3m + -5m2 = 6 + -6

Combine like terms: 14 + -6 = 8
8 + 3m + -5m2 = 6 + -6

Combine like terms: 6 + -6 = 0
8 + 3m + -5m2 = 0

Factor a trinomial.
(8 + -5m)(1 + m) = 0

Subproblem 1
Set the factor '(8 + -5m)' equal to zero and attempt to solve:

Simplifying
8 + -5m = 0

Solving
8 + -5m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5m = 0 + -8
-5m = 0 + -8

Combine like terms: 0 + -8 = -8
-5m = -8

Divide each side by '-5'.
m = 1.6

Simplifying
m = 1.6
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 = {1.6, -1}