x2=28x+29

Solution for x2=28x+29 equation:

x2=28x+29

We move all terms to the left:

x2-(28x+29)=0

We add all the numbers together, and all the variables

x^2-(28x+29)=0

We get rid of parentheses

x^2-28x-29=0

a = 1; b = -28; c = -29;
Δ = b2-4ac
Δ = -282-4·1·(-29)
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{-(-28)-30}{2*1}=\frac{-2}{2}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+30}{2*1}=\frac{58}{2}
=29
$