x(2x-24)=-70

Solution for x(2x-24)=-70 equation:

x(2x-24)=-70

We move all terms to the left:

x(2x-24)-(-70)=0

We add all the numbers together, and all the variables

x(2x-24)+70=0

We multiply parentheses

2x^2-24x+70=0

a = 2; b = -24; c = +70;
Δ = b2-4ac
Δ = -242-4·2·70
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-4}{2*2}=\frac{20}{4}
=5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+4}{2*2}=\frac{28}{4}
=7
$