128=-6m(5m+2)+2m

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Solution for 128=-6m(5m+2)+2m equation: 


Simplifying
128 = -6m(5m + 2) + 2m

Reorder the terms:
128 = -6m(2 + 5m) + 2m
128 = (2 * -6m + 5m * -6m) + 2m
128 = (-12m + -30m2) + 2m

Reorder the terms:
128 = -12m + 2m + -30m2

Combine like terms: -12m + 2m = -10m
128 = -10m + -30m2

Solving
128 = -10m + -30m2

Solving for variable 'm'.

Reorder the terms:
128 + 10m + 30m2 = -10m + 10m + -30m2 + 30m2

Combine like terms: -10m + 10m = 0
128 + 10m + 30m2 = 0 + -30m2 + 30m2
128 + 10m + 30m2 = -30m2 + 30m2

Combine like terms: -30m2 + 30m2 = 0
128 + 10m + 30m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(64 + 5m + 15m2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(64 + 5m + 15m2)' equal to zero and attempt to solve:

Simplifying
64 + 5m + 15m2 = 0

Solving
64 + 5m + 15m2 = 0

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

Divide each side by '15'.
4.266666667 + 0.3333333333m + m2 = 0

Move the constant term to the right:

Add '-4.266666667' to each side of the equation.
4.266666667 + 0.3333333333m + -4.266666667 + m2 = 0 + -4.266666667

Reorder the terms:
4.266666667 + -4.266666667 + 0.3333333333m + m2 = 0 + -4.266666667

Combine like terms: 4.266666667 + -4.266666667 = 0.000000000
0.000000000 + 0.3333333333m + m2 = 0 + -4.266666667
0.3333333333m + m2 = 0 + -4.266666667

Combine like terms: 0 + -4.266666667 = -4.266666667
0.3333333333m + m2 = -4.266666667

The m term is 0.3333333333m.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333m + 0.02777777779 + m2 = -4.266666667 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333m + m2 = -4.266666667 + 0.02777777779

Combine like terms: -4.266666667 + 0.02777777779 = -4.23888888921
0.02777777779 + 0.3333333333m + m2 = -4.23888888921

Factor a perfect square on the left side:
(m + 0.1666666667)(m + 0.1666666667) = -4.23888888921

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.

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