x=(29x/30)+5

Solution for x=(29x/30)+5 equation:

x=(29x/30)+5

We move all terms to the left:

x-((29x/30)+5)=0

We add all the numbers together, and all the variables

x-((+29x/30)+5)=0

We multiply all the terms by the denominator


x*30)+5)-((+29x=0

We add all the numbers together, and all the variables

29x+x*30)+5)-((=0

Wy multiply elements

30x^2+29x=0

a = 30; b = 29; c = 0;
Δ = b2-4ac
Δ = 292-4·30·0
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-29}{2*30}=\frac{-58}{60}
=-29/30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+29}{2*30}=\frac{0}{60}
=0
$