6x^2=70-16x

Solution for 6x^2=70-16x equation:

6x^2=70-16x

We move all terms to the left:

6x^2-(70-16x)=0

We add all the numbers together, and all the variables

6x^2-(-16x+70)=0

We get rid of parentheses

6x^2+16x-70=0

a = 6; b = 16; c = -70;
Δ = b2-4ac
Δ = 162-4·6·(-70)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-44}{2*6}=\frac{-60}{12}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+44}{2*6}=\frac{28}{12}
=2+1/3
$