5m^2-11m-7=5

Solution for 5m^2-11m-7=5 equation:

Simplifying
5m2 + -11m + -7 = 5

Reorder the terms:
-7 + -11m + 5m2 = 5

Solving
-7 + -11m + 5m2 = 5

Solving for variable 'm'.

Reorder the terms:
-7 + -5 + -11m + 5m2 = 5 + -5

Combine like terms: -7 + -5 = -12
-12 + -11m + 5m2 = 5 + -5

Combine like terms: 5 + -5 = 0
-12 + -11m + 5m2 = 0

Factor a trinomial.
(-4 + -5m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-4 + -5m)' equal to zero and attempt to solve:

Simplifying
-4 + -5m = 0

Solving
-4 + -5m = 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 + -5m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5m = 0 + 4
-5m = 0 + 4

Combine like terms: 0 + 4 = 4
-5m = 4

Divide each side by '-5'.
m = -0.8

Simplifying
m = -0.8
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-0.8, 3}