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(3x+5)(3x+7)=6x+10
We move all terms to the left:
(3x+5)(3x+7)-(6x+10)=0
We get rid of parentheses
(3x+5)(3x+7)-6x-10=0
We multiply parentheses ..
(+9x^2+21x+15x+35)-6x-10=0
We get rid of parentheses
9x^2+21x+15x-6x+35-10=0
We add all the numbers together, and all the variables
9x^2+30x+25=0
a = 9; b = 30; c = +25;
Δ = b2-4ac
Δ = 302-4·9·25
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{-30}{18}=-1+2/3$
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