3x2=-15-14x

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Solution for 3x2=-15-14x equation:



3x^2=-15-14x
We move all terms to the left:
3x^2-(-15-14x)=0
We add all the numbers together, and all the variables
3x^2-(-14x-15)=0
We get rid of parentheses
3x^2+14x+15=0
a = 3; b = 14; c = +15;
Δ = b2-4ac
Δ = 142-4·3·15
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-4}{2*3}=\frac{-18}{6} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+4}{2*3}=\frac{-10}{6} =-1+2/3 $

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