Question 963800
{{{2x^2+6x=4}}}....first simplify;divide both sides by {{{2}}}

{{{2x^2/2+6x/2=4/2}}}

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

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

{{{x^2+3x-2=0}}}.....use quadratic formula to solve for {{{x}}}


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

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

{{{x = (-3 +- sqrt( 9+8 ))/2 }}} 

{{{x = (-3 +- sqrt( 17 ))/2 }}} 

{{{x = (-3 +- 4.123)/2 }}} 

solutions:

{{{x = (-3 + 4.123)/2 }}}

{{{x = 1.123/2 }}}

{{{x = 0.56 }}}

or
{{{x = (-3 - 4.123)/2 }}}

{{{x =-7.123/2 }}}

{{{x = -3.56 }}}


{{{drawing( 600, 600, -10, 10, -10, 10,
circle(0.56,0,.12),locate(0.56,0.5,p(0.56,0)),
circle(-3.56,0,.12),locate(-3.56,0.5,p(-3.56,0)),
 graph( 600, 600, -10, 10, -10, 10, 2x^2+6x-4)) }}}