22m^2+22m+56=0

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Solution for 22m^2+22m+56=0 equation: 


Simplifying
22m2 + 22m + 56 = 0

Reorder the terms:
56 + 22m + 22m2 = 0

Solving
56 + 22m + 22m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 11m + 11m2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(28 + 11m + 11m2)' equal to zero and attempt to solve:

Simplifying
28 + 11m + 11m2 = 0

Solving
28 + 11m + 11m2 = 0

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

Divide each side by '11'.
2.545454545 + m + m2 = 0

Move the constant term to the right:

Add '-2.545454545' to each side of the equation.
2.545454545 + m + -2.545454545 + m2 = 0 + -2.545454545

Reorder the terms:
2.545454545 + -2.545454545 + m + m2 = 0 + -2.545454545

Combine like terms: 2.545454545 + -2.545454545 = 0.000000000
0.000000000 + m + m2 = 0 + -2.545454545
m + m2 = 0 + -2.545454545

Combine like terms: 0 + -2.545454545 = -2.545454545
m + m2 = -2.545454545

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + m2 = -2.545454545 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + m2 = -2.545454545 + 0.25

Combine like terms: -2.545454545 + 0.25 = -2.295454545
1.25 + m2 = -2.295454545

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -2.295454545

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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