10x/5x*5x=252

Solution for 10x/5x*5x=252 equation:

10x/5x*5x=252

We move all terms to the left:

10x/5x*5x-(252)=0


Domain of the equation: 5x*5x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


10x-252*5x*5x=0

Wy multiply elements

-6300x^2*5+10x=0

Wy multiply elements

-31500x^2+10x=0

a = -31500; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-31500)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-31500}=\frac{-20}{-63000}
=1/3150
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-31500}=\frac{0}{-63000}
=0
$