7m^2-168=-14m

Solution for 7m^2-168=-14m equation:

Simplifying
7m2 + -168 = -14m

Reorder the terms:
-168 + 7m2 = -14m

Solving
-168 + 7m2 = -14m

Solving for variable 'm'.

Reorder the terms:
-168 + 14m + 7m2 = -14m + 14m

Combine like terms: -14m + 14m = 0
-168 + 14m + 7m2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-24 + 2m + m2) = 0

Factor a trinomial.
7((-6 + -1m)(4 + -1m)) = 0

Ignore the factor 7.
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 '(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 = {-6, 4}