2x^2+6x=-14x+2

Solution for 2x^2+6x=-14x+2 equation:

2x^2+6x=-14x+2

We move all terms to the left:

2x^2+6x-(-14x+2)=0

We get rid of parentheses

2x^2+6x+14x-2=0

We add all the numbers together, and all the variables

2x^2+20x-2=0

a = 2; b = 20; c = -2;
Δ = b2-4ac
Δ = 202-4·2·(-2)
Δ = 416
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:

$\sqrt{\Delta}=\sqrt{416}=\sqrt{16*26}=\sqrt{16}*\sqrt{26}=4\sqrt{26}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-4\sqrt{26}}{2*2}=\frac{-20-4\sqrt{26}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+4\sqrt{26}}{2*2}=\frac{-20+4\sqrt{26}}{4}
$