2(1-7m)+1=-3m(1-12m)

Solution for 2(1-7m)+1=-3m(1-12m) equation:

Simplifying
2(1 + -7m) + 1 = -3m(1 + -12m)
(1 * 2 + -7m * 2) + 1 = -3m(1 + -12m)
(2 + -14m) + 1 = -3m(1 + -12m)

Reorder the terms:
2 + 1 + -14m = -3m(1 + -12m)

Combine like terms: 2 + 1 = 3
3 + -14m = -3m(1 + -12m)
3 + -14m = (1 * -3m + -12m * -3m)
3 + -14m = (-3m + 36m2)

Solving
3 + -14m = -3m + 36m2

Solving for variable 'm'.

Combine like terms: -14m + 3m = -11m
3 + -11m + -36m2 = -3m + 36m2 + 3m + -36m2

Reorder the terms:
3 + -11m + -36m2 = -3m + 3m + 36m2 + -36m2

Combine like terms: -3m + 3m = 0
3 + -11m + -36m2 = 0 + 36m2 + -36m2
3 + -11m + -36m2 = 36m2 + -36m2

Combine like terms: 36m2 + -36m2 = 0
3 + -11m + -36m2 = 0

Begin completing the square.  Divide all terms by
-36 the coefficient of the squared term: 

Divide each side by '-36'.
-0.08333333333 + 0.3055555556m + m2 = 0

Move the constant term to the right:

Add '0.08333333333' to each side of the equation.
-0.08333333333 + 0.3055555556m + 0.08333333333 + m2 = 0 + 0.08333333333

Reorder the terms:
-0.08333333333 + 0.08333333333 + 0.3055555556m + m2 = 0 + 0.08333333333

Combine like terms: -0.08333333333 + 0.08333333333 = 0.00000000000
0.00000000000 + 0.3055555556m + m2 = 0 + 0.08333333333
0.3055555556m + m2 = 0 + 0.08333333333

Combine like terms: 0 + 0.08333333333 = 0.08333333333
0.3055555556m + m2 = 0.08333333333

The m term is 0.3055555556m.  Take half its coefficient (0.1527777778).
Square it (0.02334104939) and add it to both sides.

Add '0.02334104939' to each side of the equation.
0.3055555556m + 0.02334104939 + m2 = 0.08333333333 + 0.02334104939

Reorder the terms:
0.02334104939 + 0.3055555556m + m2 = 0.08333333333 + 0.02334104939

Combine like terms: 0.08333333333 + 0.02334104939 = 0.10667438272
0.02334104939 + 0.3055555556m + m2 = 0.10667438272

Factor a perfect square on the left side:
(m + 0.1527777778)(m + 0.1527777778) = 0.10667438272

Calculate the square root of the right side: 0.326610445

Break this problem into two subproblems by setting 
(m + 0.1527777778) equal to 0.326610445 and -0.326610445.

Subproblem 1
m + 0.1527777778 = 0.326610445

Simplifying
m + 0.1527777778 = 0.326610445

Reorder the terms:
0.1527777778 + m = 0.326610445

Solving
0.1527777778 + m = 0.326610445

Solving for variable 'm'.

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

Add '-0.1527777778' to each side of the equation.
0.1527777778 + -0.1527777778 + m = 0.326610445 + -0.1527777778

Combine like terms: 0.1527777778 + -0.1527777778 = 0.0000000000
0.0000000000 + m = 0.326610445 + -0.1527777778
m = 0.326610445 + -0.1527777778

Combine like terms: 0.326610445 + -0.1527777778 = 0.1738326672
m = 0.1738326672

Simplifying
m = 0.1738326672

Subproblem 2
m + 0.1527777778 = -0.326610445

Simplifying
m + 0.1527777778 = -0.326610445

Reorder the terms:
0.1527777778 + m = -0.326610445

Solving
0.1527777778 + m = -0.326610445

Solving for variable 'm'.

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

Add '-0.1527777778' to each side of the equation.
0.1527777778 + -0.1527777778 + m = -0.326610445 + -0.1527777778

Combine like terms: 0.1527777778 + -0.1527777778 = 0.0000000000
0.0000000000 + m = -0.326610445 + -0.1527777778
m = -0.326610445 + -0.1527777778

Combine like terms: -0.326610445 + -0.1527777778 = -0.4793882228
m = -0.4793882228

Simplifying
m = -0.4793882228

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {0.1738326672, -0.4793882228}