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

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

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

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

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

Solving for variable 'm'.

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

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

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

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

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + 7m + 6m2)' equal to zero and attempt to solve:

Simplifying
6 + 7m + 6m2 = 0

Solving
6 + 7m + 6m2 = 0

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

Divide each side by '6'.
1 + 1.166666667m + m2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.166666667m + -1 + m2 = 0 + -1

Reorder the terms:
1 + -1 + 1.166666667m + m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.166666667m + m2 = 0 + -1
1.166666667m + m2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.166666667m + m2 = -1

The m term is 1.166666667m.  Take half its coefficient (0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
1.166666667m + 0.3402777780 + m2 = -1 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667m + m2 = -1 + 0.3402777780

Combine like terms: -1 + 0.3402777780 = -0.659722222
0.3402777780 + 1.166666667m + m2 = -0.659722222

Factor a perfect square on the left side:
(m + 0.5833333335)(m + 0.5833333335) = -0.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.