Solve for x:

-2x (x-3) = - 11 (correct two decimal place)

-2x (x-3) = - 11

-2x (x) - 2x (-3) = - 11

-2x² + 6x = - 11

-2x² + 6x + 11 = 0

Let us use the quadratic formula in solving for the value of x.

-2x² + 6x + 11 = 0

a = - 2; b = 6; c = 11

x = (-b + √b² - 4ac) : 2a

x = (-6 + √6² - 4 (-2) (11)) : 2 (-2)

x = (-6 + √36 + 88) : - 4

x = (-6 + √124) : - 4

x = (-6 + 11.14) : - 4

x = 5.14 : - 4

x = - 1.285 or - 1.29

x = (-6 - 11.14) : - 4

x = - 17.14 : - 4

x = 4.285 or 4.29