2,4x(x-6)=-5.6+8

Solution for 2,4x(x-6)=-5.6+8 equation:

2.4x(x-6)=-5.6+8

We move all terms to the left:

2.4x(x-6)-(-5.6+8)=0

We add all the numbers together, and all the variables

2.4x(x-6)-(2.4)=0

We add all the numbers together, and all the variables

2.4x(x-6)-2.4=0

We multiply parentheses

2x^2-12x-2.4=0

a = 2; b = -12; c = -2.4;
Δ = b2-4ac
Δ = -122-4·2·(-2.4)
Δ = 163.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-\sqrt{163.2}}{2*2}=\frac{12-\sqrt{163.2}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+\sqrt{163.2}}{2*2}=\frac{12+\sqrt{163.2}}{4}
$