x=-16x^2+30x+4

Solution for x=-16x^2+30x+4 equation:

x=-16x^2+30x+4

We move all terms to the left:

x-(-16x^2+30x+4)=0

We get rid of parentheses

16x^2-30x+x-4=0

We add all the numbers together, and all the variables

16x^2-29x-4=0

a = 16; b = -29; c = -4;
Δ = b2-4ac
Δ = -292-4·16·(-4)
Δ = 1097
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{-(-29)-\sqrt{1097}}{2*16}=\frac{29-\sqrt{1097}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+\sqrt{1097}}{2*16}=\frac{29+\sqrt{1097}}{32}
$