m^2-24m=-140

Solution for m^2-24m=-140 equation:

Simplifying
m2 + -24m = -140

Reorder the terms:
-24m + m2 = -140

Solving
-24m + m2 = -140

Solving for variable 'm'.

Reorder the terms:
140 + -24m + m2 = -140 + 140

Combine like terms: -140 + 140 = 0
140 + -24m + m2 = 0

Factor a trinomial.
(10 + -1m)(14 + -1m) = 0

Subproblem 1
Set the factor '(10 + -1m)' equal to zero and attempt to solve:

Simplifying
10 + -1m = 0

Solving
10 + -1m = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1m = 0 + -10
-1m = 0 + -10

Combine like terms: 0 + -10 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10
Subproblem 2
Set the factor '(14 + -1m)' equal to zero and attempt to solve:

Simplifying
14 + -1m = 0

Solving
14 + -1m = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1m = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1m = 0 + -14
-1m = 0 + -14

Combine like terms: 0 + -14 = -14
-1m = -14

Divide each side by '-1'.
m = 14

Simplifying
m = 14
Solution
m = {10, 14}