X2+21=-59x

Solution for X2+21=-59x equation:

X2+21=-59X

We move all terms to the left:

X2+21-(-59X)=0

We add all the numbers together, and all the variables

X^2-(-59X)+21=0

We get rid of parentheses

X^2+59X+21=0

a = 1; b = 59; c = +21;
Δ = b2-4ac
Δ = 592-4·1·21
Δ = 3397
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{-(59)-\sqrt{3397}}{2*1}=\frac{-59-\sqrt{3397}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(59)+\sqrt{3397}}{2*1}=\frac{-59+\sqrt{3397}}{2}
$