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b(4b+7)=0

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Solution for b(4b+7)=0 equation:



b(4b+7)=0
We multiply parentheses
4b^2+7b=0
a = 4; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·4·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
b_{1}=\frac{-b-\sqrt{\Delta}}{2a}
b_{2}=\frac{-b+\sqrt{\Delta}}{2a}

\sqrt{\Delta}=\sqrt{49}=7
b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*4}=\frac{-14}{8} =-1+3/4
b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*4}=\frac{0}{8} =0

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