(X)(2x+5)=59

Solution for (X)(2x+5)=59 equation:

(X)(2X+5)=59

We move all terms to the left:

(X)(2X+5)-(59)=0

We multiply parentheses

2X^2+5X-59=0

a = 2; b = 5; c = -59;
Δ = b2-4ac
Δ = 52-4·2·(-59)
Δ = 497
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{-(5)-\sqrt{497}}{2*2}=\frac{-5-\sqrt{497}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{497}}{2*2}=\frac{-5+\sqrt{497}}{4}
$