3g(g-4)-2g(g-7)=(g+6)-28

Solution for 3g(g-4)-2g(g-7)=(g+6)-28 equation:

Simplifying
3g(g + -4) + -2g(g + -7) = (g + 6) + -28

Reorder the terms:
3g(-4 + g) + -2g(g + -7) = (g + 6) + -28
(-4 * 3g + g * 3g) + -2g(g + -7) = (g + 6) + -28
(-12g + 3g2) + -2g(g + -7) = (g + 6) + -28

Reorder the terms:
-12g + 3g2 + -2g(-7 + g) = (g + 6) + -28
-12g + 3g2 + (-7 * -2g + g * -2g) = (g + 6) + -28
-12g + 3g2 + (14g + -2g2) = (g + 6) + -28

Reorder the terms:
-12g + 14g + 3g2 + -2g2 = (g + 6) + -28

Combine like terms: -12g + 14g = 2g
2g + 3g2 + -2g2 = (g + 6) + -28

Combine like terms: 3g2 + -2g2 = 1g2
2g + 1g2 = (g + 6) + -28

Reorder the terms:
2g + 1g2 = (6 + g) + -28

Remove parenthesis around (6 + g)
2g + 1g2 = 6 + g + -28

Reorder the terms:
2g + 1g2 = 6 + -28 + g

Combine like terms: 6 + -28 = -22
2g + 1g2 = -22 + g

Solving
2g + 1g2 = -22 + g

Solving for variable 'g'.

Reorder the terms:
22 + 2g + -1g + 1g2 = -22 + g + 22 + -1g

Combine like terms: 2g + -1g = 1g
22 + 1g + 1g2 = -22 + g + 22 + -1g

Reorder the terms:
22 + 1g + 1g2 = -22 + 22 + g + -1g

Combine like terms: -22 + 22 = 0
22 + 1g + 1g2 = 0 + g + -1g
22 + 1g + 1g2 = g + -1g

Combine like terms: g + -1g = 0
22 + 1g + 1g2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 1g + -22 + g2 = 0 + -22

Reorder the terms:
22 + -22 + 1g + g2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 1g + g2 = 0 + -22
1g + g2 = 0 + -22

Combine like terms: 0 + -22 = -22
1g + g2 = -22

The g term is 1g.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
g + 0.25 + g2 = -22 + 0.25

Reorder the terms:
0.25 + g + g2 = -22 + 0.25

Combine like terms: -22 + 0.25 = -21.75
0.25 + g + g2 = -21.75

Factor a perfect square on the left side:
(g + 0.5)(g + 0.5) = -21.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.