7g^2-3g+15=0

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Solution for 7g^2-3g+15=0 equation:


Simplifying
7g2 + -3g + 15 = 0

Reorder the terms:
15 + -3g + 7g2 = 0

Solving
15 + -3g + 7g2 = 0

Solving for variable 'g'.

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

Divide each side by '7'.
2.142857143 + -0.4285714286g + g2 = 0

Move the constant term to the right:

Add '-2.142857143' to each side of the equation.
2.142857143 + -0.4285714286g + -2.142857143 + g2 = 0 + -2.142857143

Reorder the terms:
2.142857143 + -2.142857143 + -0.4285714286g + g2 = 0 + -2.142857143

Combine like terms: 2.142857143 + -2.142857143 = 0.000000000
0.000000000 + -0.4285714286g + g2 = 0 + -2.142857143
-0.4285714286g + g2 = 0 + -2.142857143

Combine like terms: 0 + -2.142857143 = -2.142857143
-0.4285714286g + g2 = -2.142857143

The g term is -0.4285714286g.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286g + 0.04591836735 + g2 = -2.142857143 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286g + g2 = -2.142857143 + 0.04591836735

Combine like terms: -2.142857143 + 0.04591836735 = -2.09693877565
0.04591836735 + -0.4285714286g + g2 = -2.09693877565

Factor a perfect square on the left side:
(g + -0.2142857143)(g + -0.2142857143) = -2.09693877565

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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