2(x*x)+6=(x*x)+70

Solution for 2(x*x)+6=(x*x)+70 equation:

2(x*x)+6=(x*x)+70

We move all terms to the left:

2(x*x)+6-((x*x)+70)=0

We add all the numbers together, and all the variables

2(+x*x)-((+x*x)+70)+6=0

We multiply parentheses

2x^2-((+x*x)+70)+6=0


We calculate terms in parentheses: -((+x*x)+70), so:

(+x*x)+70

We get rid of parentheses

x*x+70

Wy multiply elements

x^2+70

Back to the equation:

-(x^2+70)


We get rid of parentheses

2x^2-x^2-70+6=0

We add all the numbers together, and all the variables

x^2-64=0

a = 1; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·1·(-64)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16}{2*1}=\frac{-16}{2}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16}{2*1}=\frac{16}{2}
=8
$