70x=(x-2)*x

Solution for 70x=(x-2)*x equation:

70x=(x-2)*x

We move all terms to the left:

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


We calculate terms in parentheses: -((x-2)*x), so:

(x-2)*x

We multiply parentheses

x^2-2x

Back to the equation:

-(x^2-2x)


We get rid of parentheses

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

We add all the numbers together, and all the variables

-1x^2+72x=0

a = -1; b = 72; c = 0;
Δ = b2-4ac
Δ = 722-4·(-1)·0
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-72}{2*-1}=\frac{-144}{-2}
=+72
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+72}{2*-1}=\frac{0}{-2}
=0
$