20x^2-130x=-200

Solution for 20x^2-130x=-200 equation:

20x^2-130x=-200

We move all terms to the left:

20x^2-130x-(-200)=0

We add all the numbers together, and all the variables

20x^2-130x+200=0

a = 20; b = -130; c = +200;
Δ = b2-4ac
Δ = -1302-4·20·200
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-130)-30}{2*20}=\frac{100}{40}
=2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-130)+30}{2*20}=\frac{160}{40}
=4
$