8m^2-40m+37=5

Solution for 8m^2-40m+37=5 equation:

Simplifying
8m2 + -40m + 37 = 5

Reorder the terms:
37 + -40m + 8m2 = 5

Solving
37 + -40m + 8m2 = 5

Solving for variable 'm'.

Reorder the terms:
37 + -5 + -40m + 8m2 = 5 + -5

Combine like terms: 37 + -5 = 32
32 + -40m + 8m2 = 5 + -5

Combine like terms: 5 + -5 = 0
32 + -40m + 8m2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(4 + -5m + m2) = 0

Factor a trinomial.
8((1 + -1m)(4 + -1m)) = 0

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

Simplifying
1 + -1m = 0

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

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

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

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

Simplifying
m = 1
Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 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 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {1, 4}