14m^2-1=6m^2+7m

Solution for 14m^2-1=6m^2+7m equation:

Simplifying
14m2 + -1 = 6m2 + 7m

Reorder the terms:
-1 + 14m2 = 6m2 + 7m

Reorder the terms:
-1 + 14m2 = 7m + 6m2

Solving
-1 + 14m2 = 7m + 6m2

Solving for variable 'm'.

Reorder the terms:
-1 + -7m + 14m2 + -6m2 = 7m + 6m2 + -7m + -6m2

Combine like terms: 14m2 + -6m2 = 8m2
-1 + -7m + 8m2 = 7m + 6m2 + -7m + -6m2

Reorder the terms:
-1 + -7m + 8m2 = 7m + -7m + 6m2 + -6m2

Combine like terms: 7m + -7m = 0
-1 + -7m + 8m2 = 0 + 6m2 + -6m2
-1 + -7m + 8m2 = 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
-1 + -7m + 8m2 = 0

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

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

Simplifying
-1 + -8m = 0

Solving
-1 + -8m = 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 + -8m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8m = 0 + 1
-8m = 0 + 1

Combine like terms: 0 + 1 = 1
-8m = 1

Divide each side by '-8'.
m = -0.125

Simplifying
m = -0.125
Subproblem 2
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
Solution
m = {-0.125, 1}