7x-27+-1=(8x/2x)+144

Solution for 7x-27+-1=(8x/2x)+144 equation:

7x-27+-1=(8x/2x)+144

We move all terms to the left:

7x-27+-1-((8x/2x)+144)=0


Domain of the equation: 2x)+144)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

7x-((+8x/2x)+144)-27-1+=0

We add all the numbers together, and all the variables

7x-((+8x/2x)+144)=0

We multiply all the terms by the denominator


7x*2x)+144)-((+8x=0

We add all the numbers together, and all the variables

8x+7x*2x)+144)-((=0

Wy multiply elements

14x^2+8x=0

a = 14; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·14·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*14}=\frac{-16}{28}
=-4/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*14}=\frac{0}{28}
=0
$