x+.7/2x=45

Solution for x+.7/2x=45 equation:

x+.7/2x=45

We move all terms to the left:

x+.7/2x-(45)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We multiply all the terms by the denominator


x*2x-45*2x+.7=0

We add all the numbers together, and all the variables

x*2x-45*2x+0.7=0

Wy multiply elements

2x^2-90x+0.7=0

a = 2; b = -90; c = +0.7;
Δ = b2-4ac
Δ = -902-4·2·0.7
Δ = 8094.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-\sqrt{8094.4}}{2*2}=\frac{90-\sqrt{8094.4}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+\sqrt{8094.4}}{2*2}=\frac{90+\sqrt{8094.4}}{4}
$