0=10x^2-70x

Solution for 0=10x^2-70x equation:

0=10x^2-70x

We move all terms to the left:

0-(10x^2-70x)=0

We add all the numbers together, and all the variables

-(10x^2-70x)=0

We get rid of parentheses

-10x^2+70x=0

a = -10; b = 70; c = 0;
Δ = b2-4ac
Δ = 702-4·(-10)·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*-10}=\frac{-140}{-20}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+70}{2*-10}=\frac{0}{-20}
=0
$