x=3(-4/15)+2

Solution for x=3(-4/15)+2 equation:

x=3(-4/15)+2

We move all terms to the left:

x-(3(-4/15)+2)=0

We multiply all the terms by the denominator


x*15)+2)-(3(-4=0

Wy multiply elements

15x^2-4=0

a = 15; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·15·(-4)
Δ = 240
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{240}=\sqrt{16*15}=\sqrt{16}*\sqrt{15}=4\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{15}}{2*15}=\frac{0-4\sqrt{15}}{30}
=-\frac{4\sqrt{15}}{30}
=-\frac{2\sqrt{15}}{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{15}}{2*15}=\frac{0+4\sqrt{15}}{30}
=\frac{4\sqrt{15}}{30}
=\frac{2\sqrt{15}}{15}
$