2m^2+5m=42

Solution for 2m^2+5m=42 equation:

Simplifying
2m2 + 5m = 42

Reorder the terms:
5m + 2m2 = 42

Solving
5m + 2m2 = 42

Solving for variable 'm'.

Reorder the terms:
-42 + 5m + 2m2 = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + 5m + 2m2 = 0

Factor a trinomial.
(-6 + -1m)(7 + -2m) = 0

Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve:

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6
Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve:

Simplifying
7 + -2m = 0

Solving
7 + -2m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2m = 0 + -7

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

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

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {-6, 3.5}