14m^2=-12m+2

Solution for 14m^2=-12m+2 equation:

Simplifying
14m2 = -12m + 2

Reorder the terms:
14m2 = 2 + -12m

Solving
14m2 = 2 + -12m

Solving for variable 'm'.

Reorder the terms:
-2 + 12m + 14m2 = 2 + -12m + -2 + 12m

Reorder the terms:
-2 + 12m + 14m2 = 2 + -2 + -12m + 12m

Combine like terms: 2 + -2 = 0
-2 + 12m + 14m2 = 0 + -12m + 12m
-2 + 12m + 14m2 = -12m + 12m

Combine like terms: -12m + 12m = 0
-2 + 12m + 14m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 6m + 7m2) = 0

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

Ignore the factor 2.
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 '(1 + -7m)' equal to zero and attempt to solve:

Simplifying
1 + -7m = 0

Solving
1 + -7m = 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 + -7m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7m = 0 + -1
-7m = 0 + -1

Combine like terms: 0 + -1 = -1
-7m = -1

Divide each side by '-7'.
m = 0.1428571429

Simplifying
m = 0.1428571429
Solution
m = {-1, 0.1428571429}