x^2+bx=c

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Solution for x^2+bx=c equation: 


Simplifying
x2 + bx = c

Reorder the terms:
bx + x2 = c

Solving
bx + x2 = c

Solving for variable 'b'.

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

Add '-1x2' to each side of the equation.
bx + x2 + -1x2 = c + -1x2

Combine like terms: x2 + -1x2 = 0
bx + 0 = c + -1x2
bx = c + -1x2

Divide each side by 'x'.
b = cx-1 + -1x

Simplifying
b = cx-1 + -1x

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