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(c+4)(c+7=)
We move all terms to the left:
(c+4)(c+7-())=0
We calculate terms in parentheses: +(c+4)(c+7-()), so:We multiply parentheses
c+4)(c+7-()
We add all the numbers together, and all the variables
c+4)(c
Back to the equation:
+(c+4)(c)
c^2+4c=0
a = 1; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·1·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{16}=4$$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*1}=\frac{-8}{2} =-4 $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*1}=\frac{0}{2} =0 $
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