x*0.25x=35078

Solution for x*0.25x=35078 equation:

x*0.25x=35078

We move all terms to the left:

x*0.25x-(35078)=0

Wy multiply elements

0x^2-35078=0

We add all the numbers together, and all the variables

x^2-35078=0

a = 1; b = 0; c = -35078;
Δ = b2-4ac
Δ = 02-4·1·(-35078)
Δ = 140312
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{140312}=\sqrt{4*35078}=\sqrt{4}*\sqrt{35078}=2\sqrt{35078}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{35078}}{2*1}=\frac{0-2\sqrt{35078}}{2}
=-\frac{2\sqrt{35078}}{2}
=-\sqrt{35078}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{35078}}{2*1}=\frac{0+2\sqrt{35078}}{2}
=\frac{2\sqrt{35078}}{2}
=\sqrt{35078}
$