0=-16*x^2+70*x

Solution for 0=-16*x^2+70*x equation:

0=-16x^2+70*x

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

16x^2-70*x=0

We add all the numbers together, and all the variables

16x^2-70x=0

a = 16; b = -70; c = 0;
Δ = b2-4ac
Δ = -702-4·16·0
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-70}{2*16}=\frac{0}{32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+70}{2*16}=\frac{140}{32}
=4+3/8
$