-7m^2-26m+8=0

Solution for -7m^2-26m+8=0 equation:

Simplifying
-7m2 + -26m + 8 = 0

Reorder the terms:
8 + -26m + -7m2 = 0

Solving
8 + -26m + -7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -7m)(4 + m) = 0

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

Simplifying
2 + -7m = 0

Solving
2 + -7m = 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 + -7m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7m = 0 + -2
-7m = 0 + -2

Combine like terms: 0 + -2 = -2
-7m = -2

Divide each side by '-7'.
m = 0.2857142857

Simplifying
m = 0.2857142857
Subproblem 2
Set the factor '(4 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

Solving
4 + m = 0

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

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

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

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

Simplifying
m = -4
Solution
m = {0.2857142857, -4}