x^2+2ax-b=0

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Solution for x^2+2ax-b=0 equation:


Simplifying
x2 + 2ax + -1b = 0

Reorder the terms:
2ax + -1b + x2 = 0

Solving
2ax + -1b + x2 = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
2ax + -1b + b + x2 = 0 + b

Combine like terms: -1b + b = 0
2ax + 0 + x2 = 0 + b
2ax + x2 = 0 + b
Remove the zero:
2ax + x2 = b

Add '-1x2' to each side of the equation.
2ax + x2 + -1x2 = b + -1x2

Combine like terms: x2 + -1x2 = 0
2ax + 0 = b + -1x2
2ax = b + -1x2

Divide each side by '2x'.
a = 0.5bx-1 + -0.5x

Simplifying
a = 0.5bx-1 + -0.5x

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