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-84x(x+7=0)
We move all terms to the left:
-84x(x+7-(0))=0
We add all the numbers together, and all the variables
-84x(x+7)=0
We multiply parentheses
-84x^2-588x=0
a = -84; b = -588; c = 0;
Δ = b2-4ac
Δ = -5882-4·(-84)·0
Δ = 345744
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{345744}=588$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-588)-588}{2*-84}=\frac{0}{-168} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-588)+588}{2*-84}=\frac{1176}{-168} =-7 $
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