ax^2+bx-c=1

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


Simplifying
ax2 + bx + -1c = 1

Solving
ax2 + bx + -1c = 1

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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