Question 1132443
{{{3x(x-4) + 11= 2(1-x)}}}

{{{3x^2-12x + 11= 2-2x}}}

{{{3x^2-12x + 11-2+2x=0}}}

{{{3x^2-10x + 9=0}}}


{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

{{{x = (-(-10) +- sqrt( (-10)^2-4*3*9 ))/(2*3) }}}

{{{x = (10 +- sqrt( 100-108 ))/6 }}}

{{{x = (10 +- sqrt( -8 ))/6 }}}

{{{x = (10 +- sqrt( -4*2 ))/6 }}}

{{{x = (10 +- 2sqrt( -2 ))/6 }}}

{{{x = (cross(10)5 +- cross(2)sqrt( -2 ))/cross(6)3 }}}

{{{x = (5 +- sqrt( 2 )*i)/3 }}}


solutions:


{{{x = 5/3 +(sqrt( 2 )/3) *i}}}

or

{{{x = 5/3 - (sqrt( 2 )/3) *i }}}