G^4-10g^2+9=0

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Solution for G^4-10g^2+9=0 equation: 


Simplifying
G4 + -10g2 + 9 = 0

Reorder the terms:
9 + G4 + -10g2 = 0

Solving
9 + G4 + -10g2 = 0

Solving for variable 'G'.

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

Add '-9' to each side of the equation.
9 + G4 + -9 + -10g2 = 0 + -9

Reorder the terms:
9 + -9 + G4 + -10g2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + G4 + -10g2 = 0 + -9
G4 + -10g2 = 0 + -9

Combine like terms: 0 + -9 = -9
G4 + -10g2 = -9

Add '10g2' to each side of the equation.
G4 + -10g2 + 10g2 = -9 + 10g2

Combine like terms: -10g2 + 10g2 = 0
G4 + 0 = -9 + 10g2
G4 = -9 + 10g2

Simplifying
G4 = -9 + 10g2

Reorder the terms:
9 + G4 + -10g2 = -9 + 10g2 + 9 + -10g2

Reorder the terms:
9 + G4 + -10g2 = -9 + 9 + 10g2 + -10g2

Combine like terms: -9 + 9 = 0
9 + G4 + -10g2 = 0 + 10g2 + -10g2
9 + G4 + -10g2 = 10g2 + -10g2

Combine like terms: 10g2 + -10g2 = 0
9 + G4 + -10g2 = 0

Factor a trinomial.
(G2 + -1g)(G2 + 10g) = 0


Subproblem 1
Set the factor '(G2 + -1g)' equal to zero and attempt to solve:

Simplifying
G2 + -1g = 0

Solving
G2 + -1g = 0

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

Add 'g' to each side of the equation.
G2 + -1g + g = 0 + g

Combine like terms: -1g + g = 0
G2 + 0 = 0 + g
G2 = 0 + g
Remove the zero:
G2 = g

Simplifying
G2 = g

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(G2 + 10g)' equal to zero and attempt to solve:

Simplifying
G2 + 10g = 0

Solving
G2 + 10g = 0

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

Add '-10g' to each side of the equation.
G2 + 10g + -10g = 0 + -10g

Combine like terms: 10g + -10g = 0
G2 + 0 = 0 + -10g
G2 = 0 + -10g
Remove the zero:
G2 = -10g

Simplifying
G2 = -10g

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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