-abx^2+(b^2-ac)x-be=0

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Solution for -abx^2+(b^2-ac)x-be=0 equation:


Simplifying
-1abx2 + (b2 + -1ac) * x + -1be = 0

Reorder the terms:
-1abx2 + (-1ac + b2) * x + -1be = 0

Reorder the terms for easier multiplication:
-1abx2 + x(-1ac + b2) + -1be = 0
-1abx2 + (-1ac * x + b2 * x) + -1be = 0
-1abx2 + (-1acx + b2x) + -1be = 0

Reorder the terms:
-1abx2 + -1acx + -1be + b2x = 0

Solving
-1abx2 + -1acx + -1be + b2x = 0

Solving for variable 'a'.

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

Add 'be' to each side of the equation.
-1abx2 + -1acx + -1be + be + b2x = 0 + be

Combine like terms: -1be + be = 0
-1abx2 + -1acx + 0 + b2x = 0 + be
-1abx2 + -1acx + b2x = 0 + be
Remove the zero:
-1abx2 + -1acx + b2x = be

Add '-1b2x' to each side of the equation.
-1abx2 + -1acx + b2x + -1b2x = be + -1b2x

Combine like terms: b2x + -1b2x = 0
-1abx2 + -1acx + 0 = be + -1b2x
-1abx2 + -1acx = be + -1b2x

Reorder the terms:
-1abx2 + -1acx + -1be + b2x = be + -1be + -1b2x + b2x

Combine like terms: be + -1be = 0
-1abx2 + -1acx + -1be + b2x = 0 + -1b2x + b2x
-1abx2 + -1acx + -1be + b2x = -1b2x + b2x

Combine like terms: -1b2x + b2x = 0
-1abx2 + -1acx + -1be + b2x = 0

The solution to this equation could not be determined.

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