15*8=5x*6x

Solution for 15*8=5x*6x equation:

15*8=5x*6x

We move all terms to the left:

15*8-(5x*6x)=0

We add all the numbers together, and all the variables

-(+5x*6x)+15*8=0

We add all the numbers together, and all the variables

-(+5x*6x)+120=0

We get rid of parentheses

-5x*6x+120=0

Wy multiply elements

-30x^2+120=0

a = -30; b = 0; c = +120;
Δ = b2-4ac
Δ = 02-4·(-30)·120
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*-30}=\frac{-120}{-60}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-30}=\frac{120}{-60}
=-2
$