x^2-4ax-1=0

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Solution for x^2-4ax-1=0 equation:


Simplifying
x2 + -4ax + -1 = 0

Reorder the terms:
-1 + -4ax + x2 = 0

Solving
-1 + -4ax + x2 = 0

Solving for variable 'a'.

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

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

Reorder the terms:
-1 + 1 + -4ax + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4ax + x2 = 0 + 1
-4ax + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-4ax + x2 = 1

Add '-1x2' to each side of the equation.
-4ax + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
-4ax + 0 = 1 + -1x2
-4ax = 1 + -1x2

Divide each side by '-4x'.
a = -0.25x-1 + 0.25x

Simplifying
a = -0.25x-1 + 0.25x

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