30x^2+10x+2=130

Solution for 30x^2+10x+2=130 equation:

30x^2+10x+2=130

We move all terms to the left:

30x^2+10x+2-(130)=0

We add all the numbers together, and all the variables

30x^2+10x-128=0

a = 30; b = 10; c = -128;
Δ = b2-4ac
Δ = 102-4·30·(-128)
Δ = 15460
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:

$\sqrt{\Delta}=\sqrt{15460}=\sqrt{4*3865}=\sqrt{4}*\sqrt{3865}=2\sqrt{3865}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{3865}}{2*30}=\frac{-10-2\sqrt{3865}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{3865}}{2*30}=\frac{-10+2\sqrt{3865}}{60}
$