42p^2=14/3

Solution for 42p^2=14/3 equation:

42p^2=14/3

We move all terms to the left:

42p^2-(14/3)=0

We add all the numbers together, and all the variables

42p^2-(+14/3)=0

We get rid of parentheses

42p^2-14/3=0

We multiply all the terms by the denominator


42p^2*3-14=0

Wy multiply elements

126p^2-14=0

a = 126; b = 0; c = -14;
Δ = b2-4ac
Δ = 02-4·126·(-14)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*126}=\frac{-84}{252}
=-1/3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*126}=\frac{84}{252}
=1/3
$