2g^2+11g+9=9

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Solution for 2g^2+11g+9=9 equation: 


Simplifying
2g2 + 11g + 9 = 9

Reorder the terms:
9 + 11g + 2g2 = 9

Add '-9' to each side of the equation.
9 + 11g + -9 + 2g2 = 9 + -9

Reorder the terms:
9 + -9 + 11g + 2g2 = 9 + -9

Combine like terms: 9 + -9 = 0
0 + 11g + 2g2 = 9 + -9
11g + 2g2 = 9 + -9

Combine like terms: 9 + -9 = 0
11g + 2g2 = 0

Solving
11g + 2g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'g'.
g(11 + 2g) = 0


Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0

Subproblem 2
Set the factor '(11 + 2g)' equal to zero and attempt to solve:

Simplifying
11 + 2g = 0

Solving
11 + 2g = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2g = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2g = 0 + -11
2g = 0 + -11

Combine like terms: 0 + -11 = -11
2g = -11

Divide each side by '2'.
g = -5.5

Simplifying
g = -5.5
Solution
g = {0, -5.5}

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