(m^2+7m+89)=0

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Solution for (m^2+7m+89)=0 equation:


Simplifying
(m2 + 7m + 89) = 0

Reorder the terms:
(89 + 7m + m2) = 0

Remove parenthesis around (89 + 7m + m2)
89 + 7m + m2 = 0

Solving
89 + 7m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-89' to each side of the equation.
89 + 7m + -89 + m2 = 0 + -89

Reorder the terms:
89 + -89 + 7m + m2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + 7m + m2 = 0 + -89
7m + m2 = 0 + -89

Combine like terms: 0 + -89 = -89
7m + m2 = -89

The m term is 7m.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7m + 12.25 + m2 = -89 + 12.25

Reorder the terms:
12.25 + 7m + m2 = -89 + 12.25

Combine like terms: -89 + 12.25 = -76.75
12.25 + 7m + m2 = -76.75

Factor a perfect square on the left side:
(m + 3.5)(m + 3.5) = -76.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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