Question 329149
Look for factors of {{{-44}}} that sum to {{{7}}}
{{{(x+a)(x+b)=x^2+(a+b)x+ab}}}
{{{(1)+ (-44)= -43}}} 
{{{(2)+ (-22)= -20}}}
{{{(4)+ (-11)= -7}}}
{{{(11)+( -4)= 7}}}<--- That's the one
{{{(22)+( -2)= 20}}}
{{{(44)+( -1)= 43}}}
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{{{a=11}}}, {{{b=-4}}}
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{{{(x+a)(x+b)=x^2+(a+b)x+ab}}}
{{{(x+11)(x-4)=x^2+7x+44=0}}}
Using the zero product property,
{{{x+11=0}}}
{{{x=-11}}}
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{{{x-4=0}}}
{{{x=4}}}