-5x=(-(15/2))

Solution for -5x=(-(15/2)) equation:

-5x=(-(15/2))

We move all terms to the left:

-5x-((-(15/2)))=0

We add all the numbers together, and all the variables

-5x-((-(+15/2)))=0

We multiply all the terms by the denominator


-5x*2)))-((-(+15=0

Wy multiply elements

-10x^2+15=0

a = -10; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·(-10)·15
Δ = 600
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:

$\sqrt{\Delta}=\sqrt{600}=\sqrt{100*6}=\sqrt{100}*\sqrt{6}=10\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{6}}{2*-10}=\frac{0-10\sqrt{6}}{-20}
=-\frac{10\sqrt{6}}{-20}
=-\frac{\sqrt{6}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{6}}{2*-10}=\frac{0+10\sqrt{6}}{-20}
=\frac{10\sqrt{6}}{-20}
=\frac{\sqrt{6}}{-2}
$