7g^2-2g=-10

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Solution for 7g^2-2g=-10 equation:


Simplifying
7g2 + -2g = -10

Reorder the terms:
-2g + 7g2 = -10

Solving
-2g + 7g2 = -10

Solving for variable 'g'.

Reorder the terms:
10 + -2g + 7g2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -2g + 7g2 = 0

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

Divide each side by '7'.
1.428571429 + -0.2857142857g + g2 = 0

Move the constant term to the right:

Add '-1.428571429' to each side of the equation.
1.428571429 + -0.2857142857g + -1.428571429 + g2 = 0 + -1.428571429

Reorder the terms:
1.428571429 + -1.428571429 + -0.2857142857g + g2 = 0 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + -0.2857142857g + g2 = 0 + -1.428571429
-0.2857142857g + g2 = 0 + -1.428571429

Combine like terms: 0 + -1.428571429 = -1.428571429
-0.2857142857g + g2 = -1.428571429

The g term is -0.2857142857g.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857g + 0.02040816328 + g2 = -1.428571429 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857g + g2 = -1.428571429 + 0.02040816328

Combine like terms: -1.428571429 + 0.02040816328 = -1.40816326572
0.02040816328 + -0.2857142857g + g2 = -1.40816326572

Factor a perfect square on the left side:
(g + -0.1428571429)(g + -0.1428571429) = -1.40816326572

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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