56g^2+9=-31g+6

Solution for 56g^2+9=-31g+6 equation:

Simplifying
56g2 + 9 = -31g + 6

Reorder the terms:
9 + 56g2 = -31g + 6

Reorder the terms:
9 + 56g2 = 6 + -31g

Solving
9 + 56g2 = 6 + -31g

Solving for variable 'g'.

Reorder the terms:
9 + -6 + 31g + 56g2 = 6 + -31g + -6 + 31g

Combine like terms: 9 + -6 = 3
3 + 31g + 56g2 = 6 + -31g + -6 + 31g

Reorder the terms:
3 + 31g + 56g2 = 6 + -6 + -31g + 31g

Combine like terms: 6 + -6 = 0
3 + 31g + 56g2 = 0 + -31g + 31g
3 + 31g + 56g2 = -31g + 31g

Combine like terms: -31g + 31g = 0
3 + 31g + 56g2 = 0

Factor a trinomial.
(3 + 7g)(1 + 8g) = 0

Subproblem 1
Set the factor '(3 + 7g)' equal to zero and attempt to solve:

Simplifying
3 + 7g = 0

Solving
3 + 7g = 0

Move all terms containing g to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 7g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7g = 0 + -3
7g = 0 + -3

Combine like terms: 0 + -3 = -3
7g = -3

Divide each side by '7'.
g = -0.4285714286

Simplifying
g = -0.4285714286
Subproblem 2
Set the factor '(1 + 8g)' equal to zero and attempt to solve:

Simplifying
1 + 8g = 0

Solving
1 + 8g = 0

Move all terms containing g to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 8g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8g = 0 + -1
8g = 0 + -1

Combine like terms: 0 + -1 = -1
8g = -1

Divide each side by '8'.
g = -0.125

Simplifying
g = -0.125
Solution
g = {-0.4285714286, -0.125}