4x^2+4b+9a^2+b^2=0

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Solution for 4x^2+4b+9a^2+b^2=0 equation: 


Simplifying
4x2 + 4b + 9a2 + b2 = 0

Reorder the terms:
9a2 + 4b + b2 + 4x2 = 0

Solving
9a2 + 4b + b2 + 4x2 = 0

Solving for variable 'a'.

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

Add '-4b' to each side of the equation.
9a2 + 4b + b2 + -4b + 4x2 = 0 + -4b

Reorder the terms:
9a2 + 4b + -4b + b2 + 4x2 = 0 + -4b

Combine like terms: 4b + -4b = 0
9a2 + 0 + b2 + 4x2 = 0 + -4b
9a2 + b2 + 4x2 = 0 + -4b
Remove the zero:
9a2 + b2 + 4x2 = -4b

Add '-1b2' to each side of the equation.
9a2 + b2 + -1b2 + 4x2 = -4b + -1b2

Combine like terms: b2 + -1b2 = 0
9a2 + 0 + 4x2 = -4b + -1b2
9a2 + 4x2 = -4b + -1b2

Add '-4x2' to each side of the equation.
9a2 + 4x2 + -4x2 = -4b + -1b2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
9a2 + 0 = -4b + -1b2 + -4x2
9a2 = -4b + -1b2 + -4x2

Divide each side by '9'.
a2 = -0.4444444444b + -0.1111111111b2 + -0.4444444444x2

Simplifying
a2 = -0.4444444444b + -0.1111111111b2 + -0.4444444444x2

Reorder the terms:
a2 + 0.4444444444b + 0.1111111111b2 + 0.4444444444x2 = -0.4444444444b + 0.4444444444b + -0.1111111111b2 + 0.1111111111b2 + -0.4444444444x2 + 0.4444444444x2

Combine like terms: -0.4444444444b + 0.4444444444b = 0.0000000000
a2 + 0.4444444444b + 0.1111111111b2 + 0.4444444444x2 = 0.0000000000 + -0.1111111111b2 + 0.1111111111b2 + -0.4444444444x2 + 0.4444444444x2
a2 + 0.4444444444b + 0.1111111111b2 + 0.4444444444x2 = -0.1111111111b2 + 0.1111111111b2 + -0.4444444444x2 + 0.4444444444x2

Combine like terms: -0.1111111111b2 + 0.1111111111b2 = 0.0000000000
a2 + 0.4444444444b + 0.1111111111b2 + 0.4444444444x2 = 0.0000000000 + -0.4444444444x2 + 0.4444444444x2
a2 + 0.4444444444b + 0.1111111111b2 + 0.4444444444x2 = -0.4444444444x2 + 0.4444444444x2

Combine like terms: -0.4444444444x2 + 0.4444444444x2 = 0.0000000000
a2 + 0.4444444444b + 0.1111111111b2 + 0.4444444444x2 = 0.0000000000

The solution to this equation could not be determined.

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