4x^2-4bx-(a^2-b^2)=0

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Solution for 4x^2-4bx-(a^2-b^2)=0 equation: 


Simplifying
4x2 + -4bx + -1(a2 + -1b2) = 0
4x2 + -4bx + (a2 * -1 + -1b2 * -1) = 0
4x2 + -4bx + (-1a2 + 1b2) = 0

Reorder the terms:
-1a2 + -4bx + 1b2 + 4x2 = 0

Solving
-1a2 + -4bx + 1b2 + 4x2 = 0

Solving for variable 'a'.

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

Add '4bx' to each side of the equation.
-1a2 + -4bx + 1b2 + 4bx + 4x2 = 0 + 4bx

Reorder the terms:
-1a2 + -4bx + 4bx + 1b2 + 4x2 = 0 + 4bx

Combine like terms: -4bx + 4bx = 0
-1a2 + 0 + 1b2 + 4x2 = 0 + 4bx
-1a2 + 1b2 + 4x2 = 0 + 4bx
Remove the zero:
-1a2 + 1b2 + 4x2 = 4bx

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

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

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

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

Divide each side by '-1'.
a2 = -4bx + b2 + 4x2

Simplifying
a2 = -4bx + b2 + 4x2

Reorder the terms:
a2 + 4bx + -1b2 + -4x2 = -4bx + 4bx + b2 + -1b2 + 4x2 + -4x2

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

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

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

The solution to this equation could not be determined.

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