x=(5x)2+5x-30

Solution for x=(5x)2+5x-30 equation:

x=(5x)2+5x-30

We move all terms to the left:

x-((5x)2+5x-30)=0

We add all the numbers together, and all the variables

-(+5x^2+5x-30)+x=0

We get rid of parentheses

-5x^2-5x+x+30=0

We add all the numbers together, and all the variables

-5x^2-4x+30=0

a = -5; b = -4; c = +30;
Δ = b2-4ac
Δ = -42-4·(-5)·30
Δ = 616
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:

$\sqrt{\Delta}=\sqrt{616}=\sqrt{4*154}=\sqrt{4}*\sqrt{154}=2\sqrt{154}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-2\sqrt{154}}{2*-5}=\frac{4-2\sqrt{154}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+2\sqrt{154}}{2*-5}=\frac{4+2\sqrt{154}}{-10}
$