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(7/8)b=4b+3
We move all terms to the left:
(7/8)b-(4b+3)=0
Domain of the equation: 8)b!=0We add all the numbers together, and all the variables
b!=0/1
b!=0
b∈R
(+7/8)b-(4b+3)=0
We multiply parentheses
7b^2-(4b+3)=0
We get rid of parentheses
7b^2-4b-3=0
a = 7; b = -4; c = -3;
Δ = b2-4ac
Δ = -42-4·7·(-3)
Δ = 100
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{100}=10$$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-10}{2*7}=\frac{-6}{14} =-3/7 $$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+10}{2*7}=\frac{14}{14} =1 $
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