3/4x+7/100x=29

Solution for 3/4x+7/100x=29 equation:

3/4x+7/100x=29

We move all terms to the left:

3/4x+7/100x-(29)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 100x!=0

x!=0/100

x!=0

x∈R


We calculate fractions


300x/400x^2+28x/400x^2-29=0

We multiply all the terms by the denominator


300x+28x-29*400x^2=0

We add all the numbers together, and all the variables

328x-29*400x^2=0

Wy multiply elements

-11600x^2+328x=0

a = -11600; b = 328; c = 0;
Δ = b2-4ac
Δ = 3282-4·(-11600)·0
Δ = 107584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{107584}=328$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(328)-328}{2*-11600}=\frac{-656}{-23200}
=41/1450
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(328)+328}{2*-11600}=\frac{0}{-23200}
=0
$