36x^2-129x+(a^2-b^2)=0

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Solution for 36x^2-129x+(a^2-b^2)=0 equation:


Simplifying
36x2 + -129x + (a2 + -1b2) = 0

Remove parenthesis around (a2 + -1b2)
36x2 + -129x + a2 + -1b2 = 0

Reorder the terms:
a2 + -1b2 + -129x + 36x2 = 0

Solving
a2 + -1b2 + -129x + 36x2 = 0

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
a2 + -1b2 + -129x + b2 + 36x2 = 0 + b2

Reorder the terms:
a2 + -1b2 + b2 + -129x + 36x2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
a2 + 0 + -129x + 36x2 = 0 + b2
a2 + -129x + 36x2 = 0 + b2
Remove the zero:
a2 + -129x + 36x2 = b2

Add '129x' to each side of the equation.
a2 + -129x + 129x + 36x2 = b2 + 129x

Combine like terms: -129x + 129x = 0
a2 + 0 + 36x2 = b2 + 129x
a2 + 36x2 = b2 + 129x

Add '-36x2' to each side of the equation.
a2 + 36x2 + -36x2 = b2 + 129x + -36x2

Combine like terms: 36x2 + -36x2 = 0
a2 + 0 = b2 + 129x + -36x2
a2 = b2 + 129x + -36x2

Simplifying
a2 = b2 + 129x + -36x2

Reorder the terms:
a2 + -1b2 + -129x + 36x2 = b2 + -1b2 + 129x + -129x + -36x2 + 36x2

Combine like terms: b2 + -1b2 = 0
a2 + -1b2 + -129x + 36x2 = 0 + 129x + -129x + -36x2 + 36x2
a2 + -1b2 + -129x + 36x2 = 129x + -129x + -36x2 + 36x2

Combine like terms: 129x + -129x = 0
a2 + -1b2 + -129x + 36x2 = 0 + -36x2 + 36x2
a2 + -1b2 + -129x + 36x2 = -36x2 + 36x2

Combine like terms: -36x2 + 36x2 = 0
a2 + -1b2 + -129x + 36x2 = 0

The solution to this equation could not be determined.

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