Question 144369
{{{x^2 -3x = -6x-1}}}

{{{x^2 -3x+6x+1 = 0}}}

{{{x^2 + 3x + 1= 0}}}

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

{{{x = (-3 +- sqrt( 3^2-4*1*1 ))/(2*1) }}} 

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

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

{{{x = (-3 +- (2.24))/2 }}}



{{{x1 = (-3 + 2.24)/2 }}}

{{{x1 = -0.76/2 }}}

{{{x1 = -0.38}}}......first solution


{{{x2 = (-3 - 2.24)/2 }}}

{{{x2 = -5.24/2 }}}..

{{{x2 = -2.62}}}..second solution

check:

{{{x^2 -3x = -6x-1}}}

{{{(-0.38)^2 -3(-0.38) = -6(-0.38)-1}}}

{{{0.14 + 1.14  = 2.28–1}}}

{{{1.28= 1.28}}}