15-x=(5x2)

Solution for 15-x=(5x2) equation:

15-x=(5x^2)

We move all terms to the left:

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

determiningTheFunctionDomain
-x-5x^2+15=0

We add all the numbers together, and all the variables

-5x^2-x+15=0

We add all the numbers together, and all the variables

-5x^2-1x+15=0

a = -5; b = -1; c = +15;
Δ = b2-4ac
Δ = -12-4·(-5)·15
Δ = 301
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{301}}{2*-5}=\frac{1-\sqrt{301}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{301}}{2*-5}=\frac{1+\sqrt{301}}{-10}
$