15+2x2=593

Solution for 15+2x2=593 equation:

15+2x^2=593

We move all terms to the left:

15+2x^2-(593)=0

We add all the numbers together, and all the variables

2x^2-578=0

a = 2; b = 0; c = -578;
Δ = b2-4ac
Δ = 02-4·2·(-578)
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-68}{2*2}=\frac{-68}{4}
=-17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+68}{2*2}=\frac{68}{4}
=17
$