X2-185x=275x

Solution for X2-185x=275x equation:

X2-185X=275X

We move all terms to the left:

X2-185X-(275X)=0

We add all the numbers together, and all the variables

X^2-460X=0

a = 1; b = -460; c = 0;
Δ = b2-4ac
Δ = -4602-4·1·0
Δ = 211600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{211600}=460$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-460)-460}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-460)+460}{2*1}=\frac{920}{2}
=460
$