9x^2+6b^2x-(a^4-b^4)=0

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Solution for 9x^2+6b^2x-(a^4-b^4)=0 equation: 


Simplifying
9x2 + 6b2x + -1(a4 + -1b4) = 0
9x2 + 6b2x + (a4 * -1 + -1b4 * -1) = 0
9x2 + 6b2x + (-1a4 + 1b4) = 0

Reorder the terms:
-1a4 + 6b2x + 1b4 + 9x2 = 0

Solving
-1a4 + 6b2x + 1b4 + 9x2 = 0

Solving for variable 'a'.

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

Add '-6b2x' to each side of the equation.
-1a4 + 6b2x + 1b4 + -6b2x + 9x2 = 0 + -6b2x

Reorder the terms:
-1a4 + 6b2x + -6b2x + 1b4 + 9x2 = 0 + -6b2x

Combine like terms: 6b2x + -6b2x = 0
-1a4 + 0 + 1b4 + 9x2 = 0 + -6b2x
-1a4 + 1b4 + 9x2 = 0 + -6b2x
Remove the zero:
-1a4 + 1b4 + 9x2 = -6b2x

Add '-1b4' to each side of the equation.
-1a4 + 1b4 + -1b4 + 9x2 = -6b2x + -1b4

Combine like terms: 1b4 + -1b4 = 0
-1a4 + 0 + 9x2 = -6b2x + -1b4
-1a4 + 9x2 = -6b2x + -1b4

Add '-9x2' to each side of the equation.
-1a4 + 9x2 + -9x2 = -6b2x + -1b4 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-1a4 + 0 = -6b2x + -1b4 + -9x2
-1a4 = -6b2x + -1b4 + -9x2

Divide each side by '-1'.
a4 = 6b2x + b4 + 9x2

Simplifying
a4 = 6b2x + b4 + 9x2

Reorder the terms:
a4 + -6b2x + -1b4 + -9x2 = 6b2x + -6b2x + b4 + -1b4 + 9x2 + -9x2

Combine like terms: 6b2x + -6b2x = 0
a4 + -6b2x + -1b4 + -9x2 = 0 + b4 + -1b4 + 9x2 + -9x2
a4 + -6b2x + -1b4 + -9x2 = b4 + -1b4 + 9x2 + -9x2

Combine like terms: b4 + -1b4 = 0
a4 + -6b2x + -1b4 + -9x2 = 0 + 9x2 + -9x2
a4 + -6b2x + -1b4 + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
a4 + -6b2x + -1b4 + -9x2 = 0

The solution to this equation could not be determined.

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