5p^2-3p-14=-6p

Solution for 5p^2-3p-14=-6p equation:

5p^2-3p-14=-6p

We move all terms to the left:

5p^2-3p-14-(-6p)=0

We get rid of parentheses

5p^2-3p+6p-14=0

We add all the numbers together, and all the variables

5p^2+3p-14=0

a = 5; b = 3; c = -14;
Δ = b2-4ac
Δ = 32-4·5·(-14)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-17}{2*5}=\frac{-20}{10}
=-2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+17}{2*5}=\frac{14}{10}
=1+2/5
$