2x^2-11x-15=36

Solution for 2x^2-11x-15=36 equation:

2x^2-11x-15=36

We move all terms to the left:

2x^2-11x-15-(36)=0

We add all the numbers together, and all the variables

2x^2-11x-51=0

a = 2; b = -11; c = -51;
Δ = b2-4ac
Δ = -112-4·2·(-51)
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-23}{2*2}=\frac{-12}{4}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+23}{2*2}=\frac{34}{4}
=8+1/2
$