X(x+29)=15(15+35)

Solution for X(x+29)=15(15+35) equation:

X(X+29)=15(15+35)

We move all terms to the left:

X(X+29)-(15(15+35))=0

We add all the numbers together, and all the variables

X(X+29)-(1550)=0

We add all the numbers together, and all the variables

X(X+29)-1550=0

We multiply parentheses

X^2+29X-1550=0

a = 1; b = 29; c = -1550;
Δ = b2-4ac
Δ = 292-4·1·(-1550)
Δ = 7041
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{-(29)-\sqrt{7041}}{2*1}=\frac{-29-\sqrt{7041}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+\sqrt{7041}}{2*1}=\frac{-29+\sqrt{7041}}{2}
$