Question 973714
{{{ 0.01x^2+0.14x+0.13=0 }}}....multiply by {{{100}}} to eliminate decimals

{{{ 100*0.01x^2+100*0.14x+100*0.13=0 }}}

{{{ x^2+14x+13=0 }}}.....write {{{14x}}} as {{{x+13x}}}

{{{ x^2+x+13x+13=0 }}}......group

{{{ (x^2+x)+(13x+13)=0 }}}..........factor

{{{ x(x+1)+13(x+1)=0 }}}

{{{ (x+13)(x+1)=0 }}}

solutions:

if 
{{{ (x+13)=0 }}}, then {{{x=-13}}}
if
{{{ (x+1)=0 }}}, then {{{x=-1}}}


{{{ graph( 600, 600, -20, 10, -10, 10, 0.01x^2+0.14x+0.13) }}}