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 + (a4 + -1b4) = 0

Remove parenthesis around (a4 + -1b4)
9x2 + -6b2x + a4 + -1b4 = 0

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

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

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

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

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

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

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

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