x*0.6x=(1540*0.6)

Solution for x*0.6x=(1540*0.6) equation:

x*0.6x=(1540*0.6)

We move all terms to the left:

x*0.6x-((1540*0.6))=0

We add all the numbers together, and all the variables

x*0.6x-(924)=0

We add all the numbers together, and all the variables

x*0.6x-924=0

Wy multiply elements

0x^2-924=0

We add all the numbers together, and all the variables

x^2-924=0

a = 1; b = 0; c = -924;
Δ = b2-4ac
Δ = 02-4·1·(-924)
Δ = 3696
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:

$\sqrt{\Delta}=\sqrt{3696}=\sqrt{16*231}=\sqrt{16}*\sqrt{231}=4\sqrt{231}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{231}}{2*1}=\frac{0-4\sqrt{231}}{2}
=-\frac{4\sqrt{231}}{2}
=-2\sqrt{231}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{231}}{2*1}=\frac{0+4\sqrt{231}}{2}
=\frac{4\sqrt{231}}{2}
=2\sqrt{231}
$