14x2+3x-2=-

Solution for 14x2+3x-2=- equation:

14x^2+3x-2=-

We move all terms to the left:

14x^2+3x-2-(-)=0

We add all the numbers together, and all the variables

14x^2+3x-2-0=0

We add all the numbers together, and all the variables

14x^2+3x-2=0

a = 14; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·14·(-2)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-11}{2*14}=\frac{-14}{28}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+11}{2*14}=\frac{8}{28}
=2/7
$