a*r^2+b*r-c=0

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Solution for a*r^2+b*r-c=0 equation:


Simplifying
a * r2 + b * r + -1c = 0

Multiply a * r2
ar2 + b * r + -1c = 0

Multiply b * r
ar2 + br + -1c = 0

Solving
ar2 + br + -1c = 0

Solving for variable 'a'.

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

Add '-1br' to each side of the equation.
ar2 + br + -1br + -1c = 0 + -1br

Combine like terms: br + -1br = 0
ar2 + 0 + -1c = 0 + -1br
ar2 + -1c = 0 + -1br
Remove the zero:
ar2 + -1c = -1br

Add 'c' to each side of the equation.
ar2 + -1c + c = -1br + c

Combine like terms: -1c + c = 0
ar2 + 0 = -1br + c
ar2 = -1br + c

Divide each side by 'r2'.
a = -1br-1 + cr-2

Simplifying
a = -1br-1 + cr-2

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