ax^2+bx-1=0

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Solution for ax^2+bx-1=0 equation:


Simplifying
ax2 + bx + -1 = 0

Reorder the terms:
-1 + ax2 + bx = 0

Solving
-1 + ax2 + bx = 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 + ax2 + 1 + bx = 0 + 1

Reorder the terms:
-1 + 1 + ax2 + bx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + ax2 + bx = 0 + 1
ax2 + bx = 0 + 1

Combine like terms: 0 + 1 = 1
ax2 + bx = 1

Add '-1bx' to each side of the equation.
ax2 + bx + -1bx = 1 + -1bx

Combine like terms: bx + -1bx = 0
ax2 + 0 = 1 + -1bx
ax2 = 1 + -1bx

Divide each side by 'x2'.
a = x-2 + -1bx-1

Simplifying
a = x-2 + -1bx-1

Reorder the terms:
a = -1bx-1 + x-2

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