2m^2+5m+10=0

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Solution for 2m^2+5m+10=0 equation:


Simplifying
2m2 + 5m + 10 = 0

Reorder the terms:
10 + 5m + 2m2 = 0

Solving
10 + 5m + 2m2 = 0

Solving for variable 'm'.

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

Divide each side by '2'.
5 + 2.5m + m2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 2.5m + -5 + m2 = 0 + -5

Reorder the terms:
5 + -5 + 2.5m + m2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2.5m + m2 = 0 + -5
2.5m + m2 = 0 + -5

Combine like terms: 0 + -5 = -5
2.5m + m2 = -5

The m term is 2.5m.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5m + 1.5625 + m2 = -5 + 1.5625

Reorder the terms:
1.5625 + 2.5m + m2 = -5 + 1.5625

Combine like terms: -5 + 1.5625 = -3.4375
1.5625 + 2.5m + m2 = -3.4375

Factor a perfect square on the left side:
(m + 1.25)(m + 1.25) = -3.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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