X^2-11x+5=-6x+5

Solution for X^2-11x+5=-6x+5 equation:

X^2-11X+5=-6X+5

We move all terms to the left:

X^2-11X+5-(-6X+5)=0

We get rid of parentheses

X^2-11X+6X-5+5=0

We add all the numbers together, and all the variables

X^2-5X=0

a = 1; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·1·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*1}=\frac{10}{2}
=5
$