X/2x+2x+A3=11-2x

Solution for X/2x+2x+A3=11-2x equation:

X/2X+2X+3=11-2X

We move all terms to the left:

X/2X+2X+3-(11-2X)=0


Domain of the equation: 2X!=0

X!=0/2

X!=0

X∈R


We add all the numbers together, and all the variables

X/2X+2X-(-2X+11)+3=0

We add all the numbers together, and all the variables

2X+X/2X-(-2X+11)+3=0

We get rid of parentheses

2X+X/2X+2X-11+3=0

We multiply all the terms by the denominator


2X*2X+X+2X*2X-11*2X+3*2X=0

We add all the numbers together, and all the variables

X+2X*2X+2X*2X-11*2X+3*2X=0

Wy multiply elements

4X^2+4X^2+X-22X+6X=0

We add all the numbers together, and all the variables

8X^2-15X=0

a = 8; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·8·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*8}=\frac{0}{16}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*8}=\frac{30}{16}
=1+7/8
$