Solve for x, where x > 0 and 84x(x + 2) = 90-13x. Express your answer as a simplified common fraction.
84x(x + 2) = 90-13x. expand left side of equation
84x^2 + 168x = 90-13x move everything to one side of the equation
84x^2 + 181x -90 = 0 a = 84 b = 181 c = -90 in quadratic formula
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
x=0.416667 is the x> 0 value