30x*2x=30x+4

Solution for 30x*2x=30x+4 equation:

30x*2x=30x+4

We move all terms to the left:

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

Wy multiply elements

60x^2-(30x+4)=0

We get rid of parentheses

60x^2-30x-4=0

a = 60; b = -30; c = -4;
Δ = b2-4ac
Δ = -302-4·60·(-4)
Δ = 1860
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:

$\sqrt{\Delta}=\sqrt{1860}=\sqrt{4*465}=\sqrt{4}*\sqrt{465}=2\sqrt{465}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{465}}{2*60}=\frac{30-2\sqrt{465}}{120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{465}}{2*60}=\frac{30+2\sqrt{465}}{120}
$