2x^2+5x^2=3364

Solution for 2x^2+5x^2=3364 equation:

2x^2+5x^2=3364

We move all terms to the left:

2x^2+5x^2-(3364)=0

We add all the numbers together, and all the variables

7x^2-3364=0

a = 7; b = 0; c = -3364;
Δ = b2-4ac
Δ = 02-4·7·(-3364)
Δ = 94192
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:

$\sqrt{\Delta}=\sqrt{94192}=\sqrt{13456*7}=\sqrt{13456}*\sqrt{7}=116\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-116\sqrt{7}}{2*7}=\frac{0-116\sqrt{7}}{14}
=-\frac{116\sqrt{7}}{14}
=-\frac{58\sqrt{7}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+116\sqrt{7}}{2*7}=\frac{0+116\sqrt{7}}{14}
=\frac{116\sqrt{7}}{14}
=\frac{58\sqrt{7}}{7}
$