g^2+7g+24.5=0

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Solution for g^2+7g+24.5=0 equation: 


Simplifying
g2 + 7g + 24.5 = 0

Reorder the terms:
24.5 + 7g + g2 = 0

Solving
24.5 + 7g + g2 = 0

Solving for variable 'g'.

Begin completing the square.

Move the constant term to the right:

Add '-24.5' to each side of the equation.
24.5 + 7g + -24.5 + g2 = 0 + -24.5

Reorder the terms:
24.5 + -24.5 + 7g + g2 = 0 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + 7g + g2 = 0 + -24.5
7g + g2 = 0 + -24.5

Combine like terms: 0 + -24.5 = -24.5
7g + g2 = -24.5

The g term is 7g.  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.
7g + 12.25 + g2 = -24.5 + 12.25

Reorder the terms:
12.25 + 7g + g2 = -24.5 + 12.25

Combine like terms: -24.5 + 12.25 = -12.25
12.25 + 7g + g2 = -12.25

Factor a perfect square on the left side:
(g + 3.5)(g + 3.5) = -12.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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