7g(5g-7)=0

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Solution for 7g(5g-7)=0 equation:



7g(5g-7)=0
We multiply parentheses
35g^2-49g=0
a = 35; b = -49; c = 0;
Δ = b2-4ac
Δ = -492-4·35·0
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-49}{2*35}=\frac{0}{70} =0 $
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+49}{2*35}=\frac{98}{70} =1+2/5 $

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