9m^2+18m+83=4

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Solution for 9m^2+18m+83=4 equation:


Simplifying
9m2 + 18m + 83 = 4

Reorder the terms:
83 + 18m + 9m2 = 4

Solving
83 + 18m + 9m2 = 4

Solving for variable 'm'.

Reorder the terms:
83 + -4 + 18m + 9m2 = 4 + -4

Combine like terms: 83 + -4 = 79
79 + 18m + 9m2 = 4 + -4

Combine like terms: 4 + -4 = 0
79 + 18m + 9m2 = 0

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

Divide each side by '9'.
8.777777778 + 2m + m2 = 0

Move the constant term to the right:

Add '-8.777777778' to each side of the equation.
8.777777778 + 2m + -8.777777778 + m2 = 0 + -8.777777778

Reorder the terms:
8.777777778 + -8.777777778 + 2m + m2 = 0 + -8.777777778

Combine like terms: 8.777777778 + -8.777777778 = 0.000000000
0.000000000 + 2m + m2 = 0 + -8.777777778
2m + m2 = 0 + -8.777777778

Combine like terms: 0 + -8.777777778 = -8.777777778
2m + m2 = -8.777777778

The m term is 2m.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2m + 1 + m2 = -8.777777778 + 1

Reorder the terms:
1 + 2m + m2 = -8.777777778 + 1

Combine like terms: -8.777777778 + 1 = -7.777777778
1 + 2m + m2 = -7.777777778

Factor a perfect square on the left side:
(m + 1)(m + 1) = -7.777777778

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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