Question

(mx - md + b - c)^2 + x - v - r^2 = 0

solve for x

Answer 1

(mx - md + b - c)^2 + x - v - r^2 = 0

m^2x^2 -2m^2xd +2mxb - 2mxc + m^2d^2 - 2mdb + 2mdc +b^2 -2bc +c^2 + x - v - r^2 = 0

x^2(m^2) + x(-2m^2d+2mb-2mc+1) + m^2d^2 - 2mdb + 2mdc +b^2 -2bc +c^2 - v - r^2 = 0

a = m^2
b = -2m^2d+2mb-2mc+1
c = m^2d^2 - 2mdb + 2mdc +b^2 -2bc +c^2 - v - r^2

x = (-b±sqrt(b^2-4ac))/2a

right?