3-2x(5-2x)=16x+1x-30

Solution for 3-2x(5-2x)=16x+1x-30 equation:

3-2x(5-2x)=16x+1x-30

We move all terms to the left:

3-2x(5-2x)-(16x+1x-30)=0

We add all the numbers together, and all the variables

-2x(-2x+5)-(17x-30)+3=0

We multiply parentheses

4x^2-10x-(17x-30)+3=0

We get rid of parentheses

4x^2-10x-17x+30+3=0

We add all the numbers together, and all the variables

4x^2-27x+33=0

a = 4; b = -27; c = +33;
Δ = b2-4ac
Δ = -272-4·4·33
Δ = 201
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{-(-27)-\sqrt{201}}{2*4}=\frac{27-\sqrt{201}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+\sqrt{201}}{2*4}=\frac{27+\sqrt{201}}{8}
$