3x^2-7x-15/12=0

Solution for 3x^2-7x-15/12=0 equation:

3x^2-7x-15/12=0

We multiply all the terms by the denominator


3x^2*12-7x*12-15=0

Wy multiply elements

36x^2-84x-15=0

a = 36; b = -84; c = -15;
Δ = b2-4ac
Δ = -842-4·36·(-15)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-96}{2*36}=\frac{-12}{72}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+96}{2*36}=\frac{180}{72}
=2+1/2
$