9x(x+2)+15=-2(6x+5)

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Solution for 9x(x+2)+15=-2(6x+5) equation:



9x(x+2)+15=-2(6x+5)
We move all terms to the left:
9x(x+2)+15-(-2(6x+5))=0
We multiply parentheses
9x^2+18x-(-2(6x+5))+15=0
We calculate terms in parentheses: -(-2(6x+5)), so:
-2(6x+5)
We multiply parentheses
-12x-10
Back to the equation:
-(-12x-10)
We get rid of parentheses
9x^2+18x+12x+10+15=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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