6x(2x-5)=12x^-30x

Solution for 6x(2x-5)=12x^-30x equation:

6x(2x-5)=12x^-30x

We move all terms to the left:

6x(2x-5)-(12x^-30x)=0

We multiply parentheses

12x^2-30x-(12x^-30x)=0

We get rid of parentheses

12x^2-30x-12x^+30x=0

We add all the numbers together, and all the variables

12x^2-12x=0

a = 12; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·12·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*12}=\frac{0}{24}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*12}=\frac{24}{24}
=1
$