Question 110267
-6x(x+1)+4=16  first, get rid of parens (distributive law)
-6x^2-6x+4=16 next, subtreact 16 from both sides
-6x^2-6x+4-16=16-16  Now, collect like terms
-6x^2-6x-12=0  divide each term by -6
x^2+x+2=0-------------------quadratic in standard form

We'll solve using the quadratic formula:
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (-1 +- sqrt( 1^2-4*1*2 ))/(2*1) }}} 
{{{x = (-1 +- sqrt( 1-8 ))/(2) }}} 
{{{x = (-1 +- sqrt(-7 ))/(2) }}} 
{{{x = (-1 +- sqrt((-1)(7 )))/(2) }}} 
{{{x = (-1 +- (i)sqrt(7 ))/(2) }}}. So:
{{{x = (-1 + (i)sqrt(7 ))/(2) }}}
and
{{{x = (-1 - (i)sqrt(7 ))/(2) }}}.  

 


Hope this helps----ptaylor