4m^2-16m-17=-8

Solution for 4m^2-16m-17=-8 equation:

Simplifying
4m2 + -16m + -17 = -8

Reorder the terms:
-17 + -16m + 4m2 = -8

Solving
-17 + -16m + 4m2 = -8

Solving for variable 'm'.

Reorder the terms:
-17 + 8 + -16m + 4m2 = -8 + 8

Combine like terms: -17 + 8 = -9
-9 + -16m + 4m2 = -8 + 8

Combine like terms: -8 + 8 = 0
-9 + -16m + 4m2 = 0

Factor a trinomial.
(-1 + -2m)(9 + -2m) = 0

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 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 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(9 + -2m)' equal to zero and attempt to solve:

Simplifying
9 + -2m = 0

Solving
9 + -2m = 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 + -2m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2m = 0 + -9
-2m = 0 + -9

Combine like terms: 0 + -9 = -9
-2m = -9

Divide each side by '-2'.
m = 4.5

Simplifying
m = 4.5
Solution
m = {-0.5, 4.5}