X+14=0/2x-2

Solution for X+14=0/2x-2 equation:

X+14=0/2X-2

We move all terms to the left:

X+14-(0/2X-2)=0


Domain of the equation: 2X-2)!=0

X∈R


We get rid of parentheses

X-0/2X+2+14=0

We multiply all the terms by the denominator


X*2X+2*2X+14*2X-0=0

We add all the numbers together, and all the variables

X*2X+2*2X+14*2X=0

Wy multiply elements

2X^2+4X+28X=0

We add all the numbers together, and all the variables

2X^2+32X=0

a = 2; b = 32; c = 0;
Δ = b2-4ac
Δ = 322-4·2·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-32}{2*2}=\frac{-64}{4}
=-16
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+32}{2*2}=\frac{0}{4}
=0
$