-1-2x^2-5x^2=-239

Solution for -1-2x^2-5x^2=-239 equation:

-1-2x^2-5x^2=-239

We move all terms to the left:

-1-2x^2-5x^2-(-239)=0

We add all the numbers together, and all the variables

-7x^2+238=0

a = -7; b = 0; c = +238;
Δ = b2-4ac
Δ = 02-4·(-7)·238
Δ = 6664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6664}=\sqrt{196*34}=\sqrt{196}*\sqrt{34}=14\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{34}}{2*-7}=\frac{0-14\sqrt{34}}{-14}
=-\frac{14\sqrt{34}}{-14}
=-\frac{\sqrt{34}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{34}}{2*-7}=\frac{0+14\sqrt{34}}{-14}
=\frac{14\sqrt{34}}{-14}
=\frac{\sqrt{34}}{-1}
$