x(x-3)=70x=10

Solution for x(x-3)=70x=10 equation:

x(x-3)=70x=10

We move all terms to the left:

x(x-3)-(70x)=0

We add all the numbers together, and all the variables

-70x+x(x-3)=0

We multiply parentheses

x^2-70x-3x=0

We add all the numbers together, and all the variables

x^2-73x=0

a = 1; b = -73; c = 0;
Δ = b2-4ac
Δ = -732-4·1·0
Δ = 5329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5329}=73$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-73}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+73}{2*1}=\frac{146}{2}
=73
$