10x^2+56=88-6x^2

Solution for 10x^2+56=88-6x^2 equation:

10x^2+56=88-6x^2

We move all terms to the left:

10x^2+56-(88-6x^2)=0

We get rid of parentheses

10x^2+6x^2-88+56=0

We add all the numbers together, and all the variables

16x^2-32=0

a = 16; b = 0; c = -32;
Δ = b2-4ac
Δ = 02-4·16·(-32)
Δ = 2048
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:

$\sqrt{\Delta}=\sqrt{2048}=\sqrt{1024*2}=\sqrt{1024}*\sqrt{2}=32\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{2}}{2*16}=\frac{0-32\sqrt{2}}{32}
=-\frac{32\sqrt{2}}{32}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{2}}{2*16}=\frac{0+32\sqrt{2}}{32}
=\frac{32\sqrt{2}}{32}
=\sqrt{2}
$