-4x^2+6x^2-12x^2+43+94=0

Solution for -4x^2+6x^2-12x^2+43+94=0 equation:

-4x^2+6x^2-12x^2+43+94=0

We add all the numbers together, and all the variables

-10x^2+137=0

a = -10; b = 0; c = +137;
Δ = b2-4ac
Δ = 02-4·(-10)·137
Δ = 5480
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:

$\sqrt{\Delta}=\sqrt{5480}=\sqrt{4*1370}=\sqrt{4}*\sqrt{1370}=2\sqrt{1370}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1370}}{2*-10}=\frac{0-2\sqrt{1370}}{-20}
=-\frac{2\sqrt{1370}}{-20}
=-\frac{\sqrt{1370}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1370}}{2*-10}=\frac{0+2\sqrt{1370}}{-20}
=\frac{2\sqrt{1370}}{-20}
=\frac{\sqrt{1370}}{-10}
$