4x=4x(2)-30

Solution for 4x=4x(2)-30 equation:

4x=4x(2)-30

We move all terms to the left:

4x-(4x(2)-30)=0

We add all the numbers together, and all the variables

-(+4x^2-30)+4x=0

We get rid of parentheses

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

a = -4; b = 4; c = +30;
Δ = b2-4ac
Δ = 42-4·(-4)·30
Δ = 496
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:

$\sqrt{\Delta}=\sqrt{496}=\sqrt{16*31}=\sqrt{16}*\sqrt{31}=4\sqrt{31}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{31}}{2*-4}=\frac{-4-4\sqrt{31}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{31}}{2*-4}=\frac{-4+4\sqrt{31}}{-8}
$