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7x^2=-44x-12
We move all terms to the left:
7x^2-(-44x-12)=0
We get rid of parentheses
7x^2+44x+12=0
a = 7; b = 44; c = +12;
Δ = b2-4ac
Δ = 442-4·7·12
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1600}=40$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-40}{2*7}=\frac{-84}{14} =-6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+40}{2*7}=\frac{-4}{14} =-2/7 $
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