x^2+bx+c=r

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Solution for x^2+bx+c=r equation:


Simplifying
x2 + bx + c = r

Reorder the terms:
bx + c + x2 = r

Solving
bx + c + x2 = r

Solving for variable 'b'.

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

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

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

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

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

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

Simplifying
b = -1cx-1 + rx-1 + -1x

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