Question 643262
{{{x^2+6x=-4x^2+2 }}}

{{{x^2+4x^2+6x-2=0 }}}

{{{5x^2+6x-2=0 }}}


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

{{{x = (-6 +- sqrt( 6^2-4*5*(-2) ))/(2*5) }}} 

{{{x = (-6 +- sqrt( 36+80 ))/10 }}} 

{{{x = (-6 +- sqrt( 116 ))/10 }}}

{{{x = (-6 +- 10.8)/10 }}}

solutions:

{{{x = (-6 + 10.8)/10 }}}

{{{x = (4.8)/10 }}}

{{{x = 0.48 }}}



or

{{{x = (-6 - 10.8)/10 }}}

{{{x = (-16.8)/10 }}}

{{{x = -1.68 }}}



{{{ graph( 600, 600, -5, 5, -5, 10, 5x^2+6x-2) }}}