5g^2-3g+11=0

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Solution for 5g^2-3g+11=0 equation:


Simplifying
5g2 + -3g + 11 = 0

Reorder the terms:
11 + -3g + 5g2 = 0

Solving
11 + -3g + 5g2 = 0

Solving for variable 'g'.

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

Divide each side by '5'.
2.2 + -0.6g + g2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + -0.6g + -2.2 + g2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + -0.6g + g2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -0.6g + g2 = 0 + -2.2
-0.6g + g2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
-0.6g + g2 = -2.2

The g term is -0.6g.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6g + 0.09 + g2 = -2.2 + 0.09

Reorder the terms:
0.09 + -0.6g + g2 = -2.2 + 0.09

Combine like terms: -2.2 + 0.09 = -2.11
0.09 + -0.6g + g2 = -2.11

Factor a perfect square on the left side:
(g + -0.3)(g + -0.3) = -2.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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